72058164 has 48 divisors (see below), whose sum is σ = 172767168. Its totient is φ = 23365888.

The previous prime is 72058163. The next prime is 72058183. The reversal of 72058164 is 46185027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72058163) 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 15 ways as a sum of consecutive naturals, for example, 86719 + ... + 87545.

It is an arithmetic number, because the mean of its divisors is an integer number (3599316).

Almost surely, 2^72058164 is an apocalyptic number.

It is an amenable number.

72058164 is an abundant number, since it is smaller than the sum of its proper divisors (100709004).

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

72058164 is a wasteful number, since it uses less digits than its factorization.

72058164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72058164 is about 8488.7080289052. The cubic root of 72058164 is about 416.1287585282.

The spelling of 72058164 in words is "seventy-two million, fifty-eight thousand, one hundred sixty-four".