165528 has 72 divisors (see below), whose sum is σ = 518700. Its totient is φ = 47520.

The previous prime is 165527. The next prime is 165533. The reversal of 165528 is 825561.

165528 is a `hidden beast` number, since 1 + 655 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165523) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 8703 + ... + 8721.

2¹⁶⁵⁵²⁸ is an apocalyptic number.

165528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259350).

165528 is an abundant number, since it is smaller than the sum of its proper divisors (353172).

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

165528 is a wasteful number, since it uses less digits than its factorization.

165528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 35 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 165528 is about 406.8513241960. The cubic root of 165528 is about 54.9065078333.

The spelling of 165528 in words is "one hundred sixty-five thousand, five hundred twenty-eight".