165031932072672 has 1152 divisors, whose sum is σ = 596661811200000. Its totient is φ = 43113763123200.

The previous prime is 165031932072619. The next prime is 165031932072739. The reversal of 165031932072672 is 276270239130561.

165031932072672 is a `hidden beast` number, since 1 + 6 + 50 + 3 + 1 + 9 + 320 + 7 + 267 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6654769329 + ... + 6654794127.

It is an arithmetic number, because the mean of its divisors is an integer number (517935600000).

Almost surely, 2^{165031932072672} is an apocalyptic number.

165031932072672 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 165031932072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298330905600000).

165031932072672 is an abundant number, since it is smaller than the sum of its proper divisors (431629879127328).

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

165031932072672 is a wasteful number, since it uses less digits than its factorization.

165031932072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24989 (or 24964 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 165031932072672 in words is "one hundred sixty-five trillion, thirty-one billion, nine hundred thirty-two million, seventy-two thousand, six hundred seventy-two".