165528272 has 120 divisors (see below), whose sum is σ = 408177000. Its totient is φ = 64447488.

The previous prime is 165528221. The next prime is 165528277. The reversal of 165528272 is 272825561.

165528272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 164454976 = 1036^2 + 12824^2 .

Its product of digits (67200) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165528277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110854 + ... + 1111002.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 2^165528272 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 165528272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204088500).

165528272 is an abundant number, since it is smaller than the sum of its proper divisors (242648728).

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

165528272 is a wasteful number, since it uses less digits than its factorization.

165528272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 165528272 is about 12865.7791058295. The cubic root of 165528272 is about 549.0653790794.

The spelling of 165528272 in words is "one hundred sixty-five million, five hundred twenty-eight thousand, two hundred seventy-two".