165121572 has 120 divisors (see below), whose sum is σ = 491272992. Its totient is φ = 42806400.

The previous prime is 165121549. The next prime is 165121597. The reversal of 165121572 is 275121561.

165121572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 316672 + ... + 317192.

Almost surely, 2^165121572 is an apocalyptic number.

165121572 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 165121572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245636496).

165121572 is an abundant number, since it is smaller than the sum of its proper divisors (326151420).

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

165121572 is a wasteful number, since it uses less digits than its factorization.

165121572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 544 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 165121572 is about 12849.9638909998. The cubic root of 165121572 is about 548.6153290217.

The spelling of 165121572 in words is "one hundred sixty-five million, one hundred twenty-one thousand, five hundred seventy-two".