165920272 has 120 divisors (see below), whose sum is σ = 404572320. Its totient is φ = 65479680.

The previous prime is 165920243. The next prime is 165920309. The reversal of 165920272 is 272029561.

165920272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786247 + ... + 786457.

It is an arithmetic number, because the mean of its divisors is an integer number (3371436).

Almost surely, 2^165920272 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 165920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202286160).

165920272 is an abundant number, since it is smaller than the sum of its proper divisors (238652048).

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

165920272 is a wasteful number, since it uses less digits than its factorization.

165920272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 165920272 is about 12881.0043086710. The cubic root of 165920272 is about 549.4984651126.

The spelling of 165920272 in words is "one hundred sixty-five million, nine hundred twenty thousand, two hundred seventy-two".