165572 has 24 divisors (see below), whose sum is σ = 326592. Its totient is φ = 72800.

The previous prime is 165569. The next prime is 165587. The reversal of 165572 is 275561.

It is a d-powerful number, because it can be written as 1 + 6⁶ + 5⁴ + 5⁴ + 7⁶ + 2⁴ .

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 7 ways as a sum of consecutive naturals, for example, 2297 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2¹⁶⁵⁵⁷² is an apocalyptic number.

165572 is the 218-th centered heptagonal number.

It is an amenable number.

165572 is a deficient number, since it is larger than the sum of its proper divisors (161020).

165572 is a wasteful number, since it uses less digits than its factorization.

165572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 165572 is about 406.9053944101. The cubic root of 165572 is about 54.9113724128.

It can be divided in two parts, 165 and 572, that added together give a palindrome (737).

The spelling of 165572 in words is "one hundred sixty-five thousand, five hundred seventy-two".