Is 72003 a prime number?

72 003 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 72 003 is about 268.334.

Thus, the square root of 72 003 is not an integer, and therefore 72 003 is not a square number.

The square of a number (here 72 003) is the result of the product of this number (72 003) by itself (i.e., 72 003 × 72 003); the square of 72 003 is sometimes called "raising 72 003 to the power 2", or "72 003 squared".

The square of 72 003 is 5 184 432 009 because 72 003 × 72 003 = 72 003² = 5 184 432 009.

As a consequence, 72 003 is the square root of 5 184 432 009.

72 003 is a number with 5 digits.

The multiples of 72 003 are all integers evenly divisible by 72 003, that is all numbers such that the remainder of the division by 72 003 is zero. There are infinitely many multiples of 72 003. The smallest multiples of 72 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 72 003 too, since 0 × 72 003 = 0
• 72 003: indeed, 72 003 is a multiple of itself, since 72 003 is evenly divisible by 72 003 (we have 72 003 / 72 003 = 1, so the remainder of this division is indeed zero)
• 144 006: indeed, 144 006 = 72 003 × 2
• 216 009: indeed, 216 009 = 72 003 × 3
• 288 012: indeed, 288 012 = 72 003 × 4
• 360 015: indeed, 360 015 = 72 003 × 5
• etc.

• Preceding numbers: …72 001, 72 002
• Following numbers: 72 004, 72 005…

Nearest numbers from 72 003

• Preceding prime number: 71 999
• Following prime number: 72 019

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• 72 003 est-il un nombre premier ?