72388625 has 16 divisors (see below), whose sum is σ = 91590096. Its totient is φ = 57110400.

The previous prime is 72388579. The next prime is 72388643. The reversal of 72388625 is 52688327.

It can be written as a sum of positive squares in 8 ways, for example, as 28815424 + 43573201 = 5368^2 + 6601^2 .

It is not a de Polignac number, because 72388625 - 2¹⁴ = 72372241 is a prime.

It is a super-2 number, since 2×72388625² = 10480226058781250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5159 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (5724381).

Almost surely, 2^72388625 is an apocalyptic number.

It is an amenable number.

72388625 is a deficient number, since it is larger than the sum of its proper divisors (19201471).

72388625 is an equidigital number, since it uses as much as digits as its factorization.

72388625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8011 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 72388625 is about 8508.1505040755. The cubic root of 72388625 is about 416.7639150786.

The spelling of 72388625 in words is "seventy-two million, three hundred eighty-eight thousand, six hundred twenty-five".