72908136 has 48 divisors (see below), whose sum is σ = 225669600. Its totient is φ = 20830752.

The previous prime is 72908123. The next prime is 72908153. The reversal of 72908136 is 63180927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72908136.

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 11 ways as a sum of consecutive naturals, for example, 71826 + ... + 72833.

It is an arithmetic number, because the mean of its divisors is an integer number (4701450).

Almost surely, 2^72908136 is an apocalyptic number.

It is an amenable number.

72908136 is an abundant number, since it is smaller than the sum of its proper divisors (152761464).

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

72908136 is a wasteful number, since it uses less digits than its factorization.

72908136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144678 (or 144671 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72908136 is about 8538.6261189960. The cubic root of 72908136 is about 417.7585351741.

The spelling of 72908136 in words is "seventy-two million, nine hundred eight thousand, one hundred thirty-six".