165733728 has 48 divisors (see below), whose sum is σ = 439384176. Its totient is φ = 54694400.

The previous prime is 165733721. The next prime is 165733741. The reversal of 165733728 is 827337561.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 165733728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165733721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150 + ... + 18242.

It is an arithmetic number, because the mean of its divisors is an integer number (9153837).

Almost surely, 2^165733728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165733728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219692088).

165733728 is an abundant number, since it is smaller than the sum of its proper divisors (273650448).

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

165733728 is a wasteful number, since it uses less digits than its factorization.

165733728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17207 (or 17199 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 165733728 is about 12873.7612219584. The cubic root of 165733728 is about 549.2924543579.

It can be divided in two parts, 16573 and 3728, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 165733728 in words is "one hundred sixty-five million, seven hundred thirty-three thousand, seven hundred twenty-eight".