73237890625 has 27 divisors (see below), whose sum is σ = 91759230363. Its totient is φ = 58455000000.

The previous prime is 73237890601. The next prime is 73237890659. The reversal of 73237890625 is 52609873237.

The square root of 73237890625 is 270625.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3681212929 + 69556677696 = 60673^2 + 263736^2 .

It is not a de Polignac number, because 73237890625 - 2⁹ = 73237890113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169140409 + ... + 169140841.

Almost surely, 2^73237890625 is an apocalyptic number.

73237890625 is the 270625-th square number.

73237890625 is the 135313-rd centered octagonal number.

It is an amenable number.

73237890625 is a deficient number, since it is larger than the sum of its proper divisors (18521339738).

73237890625 is an frugal number, since it uses more digits than its factorization.

73237890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 73237890625 in words is "seventy-three billion, two hundred thirty-seven million, eight hundred ninety thousand, six hundred twenty-five".