72908672 has 16 divisors (see below), whose sum is σ = 145248000. Its totient is φ = 36454272.

The previous prime is 72908659. The next prime is 72908687. The reversal of 72908672 is 27680927.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 284672 + ... + 284927.

It is an arithmetic number, because the mean of its divisors is an integer number (9078000).

Almost surely, 2^72908672 is an apocalyptic number.

It is an amenable number.

72908672 is a deficient number, since it is larger than the sum of its proper divisors (72339328).

72908672 is an equidigital number, since it uses as much as digits as its factorization.

72908672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569613 (or 569601 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 72908672 is about 8538.6575057207. The cubic root of 72908672 is about 417.7595589191.

The spelling of 72908672 in words is "seventy-two million, nine hundred eight thousand, six hundred seventy-two".