72904104 has 128 divisors (see below), whose sum is σ = 249312000. Its totient is φ = 19222272.

The previous prime is 72904093. The next prime is 72904141. The reversal of 72904104 is 40140927.

It is a happy number.

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

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, 17802 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (1947750).

Almost surely, 2^72904104 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 72904104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124656000).

72904104 is an abundant number, since it is smaller than the sum of its proper divisors (176407896).

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

72904104 is a wasteful number, since it uses less digits than its factorization.

72904104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72904104 is about 8538.3900121744. The cubic root of 72904104 is about 417.7508340059.

The spelling of 72904104 in words is "seventy-two million, nine hundred four thousand, one hundred four".