165502272 has 112 divisors (see below), whose sum is σ = 479747072. Its totient is φ = 50042880.

The previous prime is 165502219. The next prime is 165502283. The reversal of 165502272 is 272205561.

165502272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151713 + ... + 152799.

It is an arithmetic number, because the mean of its divisors is an integer number (4283456).

Almost surely, 2^165502272 is an apocalyptic number.

165502272 is a gapful number since it is divisible by the number (12) 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 165502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239873536).

165502272 is an abundant number, since it is smaller than the sum of its proper divisors (314244800).

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

165502272 is a wasteful number, since it uses less digits than its factorization.

165502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 165502272 is about 12864.7686337532. The cubic root of 165502272 is about 549.0366298166.

The spelling of 165502272 in words is "one hundred sixty-five million, five hundred two thousand, two hundred seventy-two".