It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 75 702 is not a prime number.
For example, 75 702 can be divided by 2: 75 702 / 2 = 37 851.
For 75 702 to be a prime number, it would have been required that 75 702 has only two divisors, i.e., itself and 1.
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75 702 is an even number, because it is evenly divisible by 2: 75 702 / 2 = 37 851.
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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 75 702 is about 275.140.
Thus, the square root of 75 702 is not an integer, and therefore 75 702 is not a square number.
The square of a number (here 75 702) is the result of the product of this number (75 702) by itself (i.e., 75 702 × 75 702); the square of 75 702 is sometimes called "raising 75 702 to the power 2", or "75 702 squared".
The square of 75 702 is 5 730 792 804 because 75 702 × 75 702 = 75 7022 = 5 730 792 804.
As a consequence, 75 702 is the square root of 5 730 792 804.
The multiples of 75 702 are all integers evenly divisible by 75 702, that is all numbers such that the remainder of the division by 75 702 is zero. There are infinitely many multiples of 75 702. The smallest multiples of 75 702 are: