# Is 72 Prime Number or Composite Number

Created by: Team Maths - Examples.com, Last Updated: May 7, 2024

## Is 72 a Prime Number?

### No – 72 is not a Prime Number.

Why No: 72 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Use this prime number tool to see if any number is Prime or not

## Is 72 a Composite Number?

### Yes – 72 is a Composite Number.

Why Yes: 72 is a composite number because it has more than two distinct positive divisors. It is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and itself (72).

## Problem Statements

Is 72 a prime number? No
Is 72 a composite number? Yes
Is 72 a perfect square? No
Factors of 72 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Multiples of 72 72, 144, 216, 288, 360, 432, 504, 576, 648, 720
Cube Root of 72 4.160
Square of 72 5184
Square Root of 72 8.485
Is 72 a Perfect Cube? No
Is 72 an Irrational number No
Is 72 a Rational number Yes
Is 72 a Real number Yes
Is 72 an Integer Yes
Is 72 a Natural number Yes
Is 72 a Whole number Yes
Is 72 an Even or odd number Yes (72 is an even number)
Is 72 an Ordinal number Yes
Is 72 a Complex number Yes (as all real numbers are also complex numbers)

## What are the factors of 72?

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 72 is not a prime number because it is divisible by numbers other than 1 and itself, demonstrating it has multiple factors. This clarity confirms that it is a composite number, not a prime number.

## What Kind of Number is 72?

• 72 is categorized as a composite number because it has more than two distinct positive divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and itself.
• 72 is one of the even numbers; it is an even number.
• 72 holds significance in various contexts, potentially for its unique properties as a composite number.
• 72 is a natural number.
• 72 is a positive integer.
• 72 is discussed in the context of composite numbers rather than prime numbers.
• 72 is an even number.
• 72 is a rational number.
• 72 is a whole number.

72, as a composite number, occupies a different position in mathematics compared to prime numbers. Unlike a prime number that is divisible only by 1 and itself, 72’s divisibility by multiple numbers illustrates its composite nature. Its properties as an even number, a composite, and a natural number make it an interesting figure in various mathematical discussions.

## Nearest Prime Number of 72

The nearest prime numbers to 72 are 71 and 73. 71 is the closest prime number less than 72, and 73 is the closest prime number greater than 72.

## What are 72 prime factors?

The prime factors of 72 are 2 and 3. Breaking down 72 into its prime components involves 2^3 (or 2 × 2 × 2) and 3^2 (or 3 × 3).

## Is 72 a co prime number?

72 is not a co-prime number by itself. Two numbers are co-prime if their greatest common divisor (GCD) is 1. 72 can share factors other than 1 with various numbers.

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