72586164 has 24 divisors (see below), whose sum is σ = 193563328. Its totient is φ = 20738880.

The previous prime is 72586147. The next prime is 72586207. The reversal of 72586164 is 46168527.

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, 431977 + ... + 432144.

Almost surely, 2^72586164 is an apocalyptic number.

It is an amenable number.

72586164 is an abundant number, since it is smaller than the sum of its proper divisors (120977164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72586164 is a wasteful number, since it uses less digits than its factorization.

72586164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864135 (or 864133 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 72586164 is about 8519.7514048240. The cubic root of 72586164 is about 417.1426686637.

The spelling of 72586164 in words is "seventy-two million, five hundred eighty-six thousand, one hundred sixty-four".