72456160 has 48 divisors (see below), whose sum is σ = 195634656. Its totient is φ = 24841728.

The previous prime is 72456133. The next prime is 72456173. The reversal of 72456160 is 6165427.

It is a happy number.

It is a congruent number.

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, 31227 + ... + 33466.

It is an arithmetic number, because the mean of its divisors is an integer number (4075722).

Almost surely, 2^72456160 is an apocalyptic number.

72456160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72456160 is an abundant number, since it is smaller than the sum of its proper divisors (123178496).

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

72456160 is a wasteful number, since it uses less digits than its factorization.

72456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64715 (or 64707 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 72456160 is about 8512.1184202289. The cubic root of 72456160 is about 416.8934814875.

The spelling of 72456160 in words is "seventy-two million, four hundred fifty-six thousand, one hundred sixty".