165272640 has 448 divisors, whose sum is σ = 645200640. Its totient is φ = 35389440.

The previous prime is 165272617. The next prime is 165272651. The reversal of 165272640 is 46272561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4031020 + ... + 4031060.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^165272640 is an apocalyptic number.

165272640 is a gapful number since it is divisible by the number (10) 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 165272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

165272640 is an abundant number, since it is smaller than the sum of its proper divisors (479928000).

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

165272640 is a wasteful number, since it uses less digits than its factorization.

165272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 165272640 is about 12855.8406959638. The cubic root of 165272640 is about 548.7825855014.

The spelling of 165272640 in words is "one hundred sixty-five million, two hundred seventy-two thousand, six hundred forty".