72679904 has 24 divisors (see below), whose sum is σ = 156097368. Its totient is φ = 33036160.

The previous prime is 72679897. The next prime is 72679927. The reversal of 72679904 is 40997627.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102887 + ... + 103590.

It is an arithmetic number, because the mean of its divisors is an integer number (6504057).

Almost surely, 2^72679904 is an apocalyptic number.

It is an amenable number.

72679904 is an abundant number, since it is smaller than the sum of its proper divisors (83417464).

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

72679904 is a wasteful number, since it uses less digits than its factorization.

72679904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206498 (or 206490 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 72679904 is about 8525.2509640479. The cubic root of 72679904 is about 417.3221617000.

It can be divided in two parts, 7267 and 9904, that added together give a palindrome (17171).

The spelling of 72679904 in words is "seventy-two million, six hundred seventy-nine thousand, nine hundred four".