165180672 has 54 divisors (see below), whose sum is σ = 476263242. Its totient is φ = 55059456.

The previous prime is 165180667. The next prime is 165180683. The reversal of 165180672 is 276081561.

It can be written as a sum of positive squares in only one way, i.e., 118722816 + 46457856 = 10896^2 + 6816^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33543 + ... + 38150.

Almost surely, 2^165180672 is an apocalyptic number.

165180672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165180672 is an abundant number, since it is smaller than the sum of its proper divisors (311082570).

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

165180672 is an equidigital number, since it uses as much as digits as its factorization.

165180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71715 (or 71698 counting only the distinct ones).

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

The square root of 165180672 is about 12852.2633026250. The cubic root of 165180672 is about 548.6807743338.

The spelling of 165180672 in words is "one hundred sixty-five million, one hundred eighty thousand, six hundred seventy-two".