165272 has 16 divisors (see below), whose sum is σ = 315240. Its totient is φ = 81216.

The previous prime is 165247. The next prime is 165287. The reversal of 165272 is 272561.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 725.

2¹⁶⁵²⁷² is an apocalyptic number.

It is an amenable number.

165272 is a deficient number, since it is larger than the sum of its proper divisors (149968).

165272 is a wasteful number, since it uses less digits than its factorization.

165272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 165272 is about 406.5365912190. The cubic root of 165272 is about 54.8781877134.

The spelling of 165272 in words is "one hundred sixty-five thousand, two hundred seventy-two".