72131904 has 224 divisors, whose sum is σ = 241808000. Its totient is φ = 21026304.

The previous prime is 72131893. The next prime is 72131921. The reversal of 72131904 is 40913127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 72131904 = 52³ + 416³ = 234³ + 390³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796407 + ... + 3796425.

It is an arithmetic number, because the mean of its divisors is an integer number (1079500).

Almost surely, 2^72131904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120904000).

72131904 is an abundant number, since it is smaller than the sum of its proper divisors (169676096).

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

72131904 is a wasteful number, since it uses less digits than its factorization.

72131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72131904 is about 8493.0503354213. The cubic root of 72131904 is about 416.2706572006.

The spelling of 72131904 in words is "seventy-two million, one hundred thirty-one thousand, nine hundred four".