72004164 has 24 divisors (see below), whose sum is σ = 168591360. Its totient is φ = 23918304.

The previous prime is 72004151. The next prime is 72004169. The reversal of 72004164 is 46140027.

It is not an unprimeable number, because it can be changed into a prime (72004169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6724 + ... + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (7024640).

Almost surely, 2^72004164 is an apocalyptic number.

It is an amenable number.

72004164 is an abundant number, since it is smaller than the sum of its proper divisors (96587196).

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

72004164 is a wasteful number, since it uses less digits than its factorization.

72004164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20779 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72004164 is about 8485.5267367442. The cubic root of 72004164 is about 416.0247843345.

The spelling of 72004164 in words is "seventy-two million, four thousand, one hundred sixty-four".