72589136 has 40 divisors (see below), whose sum is σ = 143324160. Its totient is φ = 35610624.

The previous prime is 72589129. The next prime is 72589141. The reversal of 72589136 is 63198527.

It is a junction number, because it is equal to n+sod(n) for n = 72589093 and 72589102.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 282320 + ... + 282576.

It is an arithmetic number, because the mean of its divisors is an integer number (3583104).

Almost surely, 2^72589136 is an apocalyptic number.

It is an amenable number.

72589136 is a deficient number, since it is larger than the sum of its proper divisors (70735024).

72589136 is a wasteful number, since it uses less digits than its factorization.

72589136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 72589136 is about 8519.9258212733. The cubic root of 72589136 is about 417.1483618107.

The spelling of 72589136 in words is "seventy-two million, five hundred eighty-nine thousand, one hundred thirty-six".