87872160 has 48 divisors (see below), whose sum is σ = 276798816. Its totient is φ = 23432448.

The previous prime is 87872153. The next prime is 87872171. The reversal of 87872160 is 6127878.

It is a tau number, because it is divible by the number of its divisors (48).

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, 91054 + ... + 92013.

It is an arithmetic number, because the mean of its divisors is an integer number (5766642).

Almost surely, 2^87872160 is an apocalyptic number.

87872160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87872160 is an abundant number, since it is smaller than the sum of its proper divisors (188926656).

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

87872160 is a wasteful number, since it uses less digits than its factorization.

87872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183085 (or 183077 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 87872160 is about 9374.0151482702. The cubic root of 87872160 is about 444.5805246270.

The spelling of 87872160 in words is "eighty-seven million, eight hundred seventy-two thousand, one hundred sixty".