72047904 has 96 divisors (see below), whose sum is σ = 202378176. Its totient is φ = 22364160.

The previous prime is 72047897. The next prime is 72047929. The reversal of 72047904 is 40974027.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213624 + ... + 213960.

It is an arithmetic number, because the mean of its divisors is an integer number (2108106).

Almost surely, 2^72047904 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 72047904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189088).

72047904 is an abundant number, since it is smaller than the sum of its proper divisors (130330272).

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

72047904 is a wasteful number, since it uses less digits than its factorization.

72047904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72047904 is about 8488.1036751444. The cubic root of 72047904 is about 416.1090074296.

The spelling of 72047904 in words is "seventy-two million, forty-seven thousand, nine hundred four".