72674160 has 80 divisors (see below), whose sum is σ = 242630304. Its totient is φ = 17888256.

The previous prime is 72674149. The next prime is 72674177. The reversal of 72674160 is 6147627.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8527 + ... + 14766.

Almost surely, 2^72674160 is an apocalyptic number.

It is an amenable number.

72674160 is an abundant number, since it is smaller than the sum of its proper divisors (169956144).

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

72674160 is a wasteful number, since it uses less digits than its factorization.

72674160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23322 (or 23316 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72674160 is about 8524.9140758133. The cubic root of 72674160 is about 417.3111675484.

The spelling of 72674160 in words is "seventy-two million, six hundred seventy-four thousand, one hundred sixty".