72310825 has 12 divisors (see below), whose sum is σ = 89961628. Its totient is φ = 57657600.

The previous prime is 72310811. The next prime is 72310831. The reversal of 72310825 is 52801327.

It can be written as a sum of positive squares in 6 ways, for example, as 1700416 + 70610409 = 1304^2 + 8403^2 .

It is not a de Polignac number, because 72310825 - 2⁵ = 72310793 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72310793 and 72310802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3205 + ... + 12445.

Almost surely, 2^72310825 is an apocalyptic number.

It is an amenable number.

72310825 is a deficient number, since it is larger than the sum of its proper divisors (17650803).

72310825 is a wasteful number, since it uses less digits than its factorization.

72310825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 72310825 is about 8503.5771884543. The cubic root of 72310825 is about 416.6145552606.

The spelling of 72310825 in words is "seventy-two million, three hundred ten thousand, eight hundred twenty-five".