72133164 has 36 divisors (see below), whose sum is σ = 185432520. Its totient is φ = 23636160.

The previous prime is 72133163. The next prime is 72133169. The reversal of 72133164 is 46133127.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72133163) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14857 + ... + 19104.

Almost surely, 2^72133164 is an apocalyptic number.

It is an amenable number.

72133164 is an abundant number, since it is smaller than the sum of its proper divisors (113299356).

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

72133164 is a wasteful number, since it uses less digits than its factorization.

72133164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34030 (or 34025 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 72133164 is about 8493.1245133932. The cubic root of 72133164 is about 416.2730809916.

The spelling of 72133164 in words is "seventy-two million, one hundred thirty-three thousand, one hundred sixty-four".