It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 730 729 is not a prime number.
For example, 730 729 can be divided by 163: 730 729 / 163 = 4 483.
For 730 729 to be a prime number, it would have been required that 730 729 has only two divisors, i.e., itself and 1.
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730 729 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 730 729 is about 854.827.
Thus, the square root of 730 729 is not an integer, and therefore 730 729 is not a square number.
The square of a number (here 730 729) is the result of the product of this number (730 729) by itself (i.e., 730 729 × 730 729); the square of 730 729 is sometimes called "raising 730 729 to the power 2", or "730 729 squared".
The square of 730 729 is 533 964 871 441 because 730 729 × 730 729 = 730 7292 = 533 964 871 441.
As a consequence, 730 729 is the square root of 533 964 871 441.
The multiples of 730 729 are all integers evenly divisible by 730 729, that is all numbers such that the remainder of the division by 730 729 is zero. There are infinitely many multiples of 730 729. The smallest multiples of 730 729 are: