165872160 has 144 divisors (see below), whose sum is σ = 571124736. Its totient is φ = 43835904.

The previous prime is 165872153. The next prime is 165872173. The reversal of 165872160 is 61278561.

165872160 is a `hidden beast` number, since 16 + 587 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182427 + ... + 183333.

It is an arithmetic number, because the mean of its divisors is an integer number (3966144).

Almost surely, 2^165872160 is an apocalyptic number.

165872160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285562368).

165872160 is an abundant number, since it is smaller than the sum of its proper divisors (405252576).

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

165872160 is a wasteful number, since it uses less digits than its factorization.

165872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

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

The square root of 165872160 is about 12879.1366170252. The cubic root of 165872160 is about 549.4453471791.

The spelling of 165872160 in words is "one hundred sixty-five million, eight hundred seventy-two thousand, one hundred sixty".