66872160 has 72 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 17832192.

The previous prime is 66872147. The next prime is 66872227. The reversal of 66872160 is 6127866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21780 + ... + 24659.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^66872160 is an apocalyptic number.

66872160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66872160 is an abundant number, since it is smaller than the sum of its proper divisors (161334000).

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

66872160 is a wasteful number, since it uses less digits than its factorization.

66872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46460 (or 46449 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66872160 is about 8177.5399723878. The cubic root of 66872160 is about 405.8963230300.

The spelling of 66872160 in words is "sixty-six million, eight hundred seventy-two thousand, one hundred sixty".