Is 72167 a prime number?

72 167 is an odd number, because it is not evenly divisible by 2.

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• 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 72 167 is about 268.639.

Thus, the square root of 72 167 is not an integer, and therefore 72 167 is not a square number.

Anyway, 72 167 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 72 167) is the result of the product of this number (72 167) by itself (i.e., 72 167 × 72 167); the square of 72 167 is sometimes called "raising 72 167 to the power 2", or "72 167 squared".

The square of 72 167 is 5 208 075 889 because 72 167 × 72 167 = 72 167² = 5 208 075 889.

As a consequence, 72 167 is the square root of 5 208 075 889.

72 167 is a number with 5 digits.

The multiples of 72 167 are all integers evenly divisible by 72 167, that is all numbers such that the remainder of the division by 72 167 is zero. There are infinitely many multiples of 72 167. The smallest multiples of 72 167 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 72 167 too, since 0 × 72 167 = 0
• 72 167: indeed, 72 167 is a multiple of itself, since 72 167 is evenly divisible by 72 167 (we have 72 167 / 72 167 = 1, so the remainder of this division is indeed zero)
• 144 334: indeed, 144 334 = 72 167 × 2
• 216 501: indeed, 216 501 = 72 167 × 3
• 288 668: indeed, 288 668 = 72 167 × 4
• 360 835: indeed, 360 835 = 72 167 × 5
• etc.

• Preceding numbers: …72 165, 72 166
• Following numbers: 72 168, 72 169…

Nearest numbers from 72 167

• Preceding prime number: 72 161
• Following prime number: 72 169

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• 72 167 est-il un nombre premier ?