72613404 has 36 divisors (see below), whose sum is σ = 186142320. Its totient is φ = 23862720.

The previous prime is 72613397. The next prime is 72613417. The reversal of 72613404 is 40431627.

72613404 is a `hidden beast` number, since 7 + 2 + 613 + 40 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11649 + ... + 16760.

It is an arithmetic number, because the mean of its divisors is an integer number (5170620).

Almost surely, 2^72613404 is an apocalyptic number.

It is an amenable number.

72613404 is an abundant number, since it is smaller than the sum of its proper divisors (113528916).

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

72613404 is a wasteful number, since it uses less digits than its factorization.

72613404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28490 (or 28485 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72613404 is about 8521.3498930627. The cubic root of 72613404 is about 417.1948436447.

The spelling of 72613404 in words is "seventy-two million, six hundred thirteen thousand, four hundred four".