165601872 has 60 divisors (see below), whose sum is σ = 487855680. Its totient is φ = 52294464.

The previous prime is 165601841. The next prime is 165601883. The reversal of 165601872 is 278106561.

165601872 is a `hidden beast` number, since 16 + 560 + 1 + 87 + 2 = 666.

165601872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27528 + ... + 32999.

It is an arithmetic number, because the mean of its divisors is an integer number (8130928).

Almost surely, 2^165601872 is an apocalyptic number.

165601872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165601872 is an abundant number, since it is smaller than the sum of its proper divisors (322253808).

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

165601872 is a wasteful number, since it uses less digits than its factorization.

165601872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60560 (or 60551 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 165601872 is about 12868.6390888858. The cubic root of 165601872 is about 549.1467452884.

The spelling of 165601872 in words is "one hundred sixty-five million, six hundred one thousand, eight hundred seventy-two".