It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 72 097 is not a prime number.
For example, 72 097 can be divided by 17: 72 097 / 17 = 4 241.
For 72 097 to be a prime number, it would have been required that 72 097 has only two divisors, i.e., itself and 1.
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72 097 is an odd number, because it is not evenly divisible by 2.
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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 72 097 is about 268.509.
Thus, the square root of 72 097 is not an integer, and therefore 72 097 is not a square number.
The square of a number (here 72 097) is the result of the product of this number (72 097) by itself (i.e., 72 097 × 72 097); the square of 72 097 is sometimes called "raising 72 097 to the power 2", or "72 097 squared".
The square of 72 097 is 5 197 977 409 because 72 097 × 72 097 = 72 0972 = 5 197 977 409.
As a consequence, 72 097 is the square root of 5 197 977 409.
The multiples of 72 097 are all integers evenly divisible by 72 097, that is all numbers such that the remainder of the division by 72 097 is zero. There are infinitely many multiples of 72 097. The smallest multiples of 72 097 are: