165516372 has 240 divisors, whose sum is σ = 546416640. Its totient is φ = 42596928.

The previous prime is 165516371. The next prime is 165516389. The reversal of 165516372 is 273615561.

165516372 is a `hidden beast` number, since 16 + 5 + 5 + 1 + 637 + 2 = 666.

165516372 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165516371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 991033 + ... + 991199.

It is an arithmetic number, because the mean of its divisors is an integer number (2276736).

Almost surely, 2^165516372 is an apocalyptic number.

165516372 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 165516372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208320).

165516372 is an abundant number, since it is smaller than the sum of its proper divisors (380900268).

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

165516372 is a wasteful number, since it uses less digits than its factorization.

165516372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 165516372 is about 12865.3166303826. The cubic root of 165516372 is about 549.0522211366.

The spelling of 165516372 in words is "one hundred sixty-five million, five hundred sixteen thousand, three hundred seventy-two".