165972 has 12 divisors (see below), whose sum is σ = 387296. Its totient is φ = 55320.

The previous prime is 165961. The next prime is 165983. The reversal of 165972 is 279561.

It is an interprime number because it is at equal distance from previous prime (165961) and next prime (165983).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

165972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6904 + ... + 6927.

2¹⁶⁵⁹⁷² is an apocalyptic number.

165972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165972 is an abundant number, since it is smaller than the sum of its proper divisors (221324).

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

165972 is a wasteful number, since it uses less digits than its factorization.

165972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13836 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 165972 is about 407.3966126516. The cubic root of 165972 is about 54.9555563828.

The spelling of 165972 in words is "one hundred sixty-five thousand, nine hundred seventy-two".