72553164 has 24 divisors (see below), whose sum is σ = 169436400. Its totient is φ = 24163584.

The previous prime is 72553163. The next prime is 72553177. The reversal of 72553164 is 46135527.

It is not an unprimeable number, because it can be changed into a prime (72553163) 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 7 ways as a sum of consecutive naturals, for example, 19312 + ... + 22760.

It is an arithmetic number, because the mean of its divisors is an integer number (7059850).

Almost surely, 2^72553164 is an apocalyptic number.

It is an amenable number.

72553164 is an abundant number, since it is smaller than the sum of its proper divisors (96883236).

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

72553164 is a wasteful number, since it uses less digits than its factorization.

72553164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5207 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 72553164 is about 8517.8145084288. The cubic root of 72553164 is about 417.0794435992.

The spelling of 72553164 in words is "seventy-two million, five hundred fifty-three thousand, one hundred sixty-four".