732864405625 has 75 divisors (see below), whose sum is σ = 1010931995865. Its totient is φ = 531108930000.

The previous prime is 732864405541. The next prime is 732864405659. The reversal of 732864405625 is 526504468237.

The square root of 732864405625 is 856075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 57456569401 + 675407836224 = 239701^2 + 821832^2 .

It is not a de Polignac number, because 732864405625 - 2²¹ = 732862308473 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2589626734 + ... + 2589627016.

Almost surely, 2^732864405625 is an apocalyptic number.

732864405625 is the 856075-th square number.

732864405625 is the 428038-th centered octagonal number.

It is an amenable number.

732864405625 is a deficient number, since it is larger than the sum of its proper divisors (278067590240).

732864405625 is an frugal number, since it uses more digits than its factorization.

732864405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

It can be divided in two parts, 732864 and 405625, that added together give a square (1138489 = 1067²).

The spelling of 732864405625 in words is "seven hundred thirty-two billion, eight hundred sixty-four million, four hundred five thousand, six hundred twenty-five".