165391872 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 51437568.

The previous prime is 165391871. The next prime is 165391907. The reversal of 165391872 is 278193561.

Its product of digits (90720) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165391871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2093529 + ... + 2093607.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^165391872 is an apocalyptic number.

165391872 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 165391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

165391872 is an abundant number, since it is smaller than the sum of its proper divisors (306006528).

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

165391872 is an equidigital number, since it uses as much as digits as its factorization.

165391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 165391872 is about 12860.4771295625. The cubic root of 165391872 is about 548.9145224767.

The spelling of 165391872 in words is "one hundred sixty-five million, three hundred ninety-one thousand, eight hundred seventy-two".