72906672 has 40 divisors (see below), whose sum is σ = 192727744. Its totient is φ = 23736384.

The previous prime is 72906649. The next prime is 72906679. The reversal of 72906672 is 27660927.

It is a self number, because there is not a number n which added to its sum of digits gives 72906672.

It is not an unprimeable number, because it can be changed into a prime (72906679) by changing a digit.

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, 15598 + ... + 19725.

Almost surely, 2^72906672 is an apocalyptic number.

It is an amenable number.

72906672 is an abundant number, since it is smaller than the sum of its proper divisors (119821072).

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

72906672 is a wasteful number, since it uses less digits than its factorization.

72906672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35377 (or 35371 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 72906672 is about 8538.5403904883. The cubic root of 72906672 is about 417.7557389494.

The spelling of 72906672 in words is "seventy-two million, nine hundred six thousand, six hundred seventy-two".