165872 has 20 divisors (see below), whose sum is σ = 367536. Its totient is φ = 71040.

The previous prime is 165857. The next prime is 165877. The reversal of 165872 is 278561.

165872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629 + ... + 852.

2¹⁶⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

165872 is an abundant number, since it is smaller than the sum of its proper divisors (201664).

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

165872 is a wasteful number, since it uses less digits than its factorization.

165872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1490 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 165872 is about 407.2738636348. The cubic root of 165872 is about 54.9445170514.

The spelling of 165872 in words is "one hundred sixty-five thousand, eight hundred seventy-two".