It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 725 729 is not a prime number.
For example, 725 729 can be divided by 53: 725 729 / 53 = 13 693.
For 725 729 to be a prime number, it would have been required that 725 729 has only two divisors, i.e., itself and 1.
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725 729 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 725 729 is about 851.897.
Thus, the square root of 725 729 is not an integer, and therefore 725 729 is not a square number.
The square of a number (here 725 729) is the result of the product of this number (725 729) by itself (i.e., 725 729 × 725 729); the square of 725 729 is sometimes called "raising 725 729 to the power 2", or "725 729 squared".
The square of 725 729 is 526 682 581 441 because 725 729 × 725 729 = 725 7292 = 526 682 581 441.
As a consequence, 725 729 is the square root of 526 682 581 441.
The multiples of 725 729 are all integers evenly divisible by 725 729, that is all numbers such that the remainder of the division by 725 729 is zero. There are infinitely many multiples of 725 729. The smallest multiples of 725 729 are: