It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 723 729 is not a prime number.
For example, 723 729 can be divided by 3: 723 729 / 3 = 241 243.
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For 723 729 to be a prime number, it would have been required that 723 729 has only two divisors, i.e., itself and 1.
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723 729 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 723 729 is about 850.723.
Thus, the square root of 723 729 is not an integer, and therefore 723 729 is not a square number.
The square of a number (here 723 729) is the result of the product of this number (723 729) by itself (i.e., 723 729 × 723 729); the square of 723 729 is sometimes called "raising 723 729 to the power 2", or "723 729 squared".
The square of 723 729 is 523 783 665 441 because 723 729 × 723 729 = 723 7292 = 523 783 665 441.
As a consequence, 723 729 is the square root of 523 783 665 441.
The multiples of 723 729 are all integers evenly divisible by 723 729, that is all numbers such that the remainder of the division by 723 729 is zero. There are infinitely many multiples of 723 729. The smallest multiples of 723 729 are: