72733164 has 24 divisors (see below), whose sum is σ = 193955328. Its totient is φ = 20780880.

The previous prime is 72733147. The next prime is 72733187. The reversal of 72733164 is 46133727.

It is a super-2 number, since 2×72733164² = 10580226290901792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432852 + ... + 433019.

It is an arithmetic number, because the mean of its divisors is an integer number (8081472).

Almost surely, 2^72733164 is an apocalyptic number.

It is an amenable number.

72733164 is an abundant number, since it is smaller than the sum of its proper divisors (121222164).

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

72733164 is a wasteful number, since it uses less digits than its factorization.

72733164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865885 (or 865883 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 72733164 is about 8528.3740537104. The cubic root of 72733164 is about 417.4240750217.

The spelling of 72733164 in words is "seventy-two million, seven hundred thirty-three thousand, one hundred sixty-four".