72183904 has 96 divisors (see below), whose sum is σ = 165745440. Its totient is φ = 30646272.

The previous prime is 72183899. The next prime is 72183931. The reversal of 72183904 is 40938127.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 72183904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417162 + ... + 417334.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515).

Almost surely, 2^72183904 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 72183904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82872720).

72183904 is an abundant number, since it is smaller than the sum of its proper divisors (93561536).

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

72183904 is a wasteful number, since it uses less digits than its factorization.

72183904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 72183904 is about 8496.1111103846. Note that the first 5 decimals coincide. The cubic root of 72183904 is about 416.3706632243.

The spelling of 72183904 in words is "seventy-two million, one hundred eighty-three thousand, nine hundred four".