172631520371232 has 72 divisors (see below), whose sum is σ = 528684031148364. Its totient is φ = 53117390882304.

The previous prime is 172631520371231. The next prime is 172631520371239. The reversal of 172631520371232 is 232173025136271.

172631520371232 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 31 + 520 + 3 + 71 + 23 + 2 = 666.

172631520371232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123194815667856 + 49436704703376 = 11099316^2 + 7031124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (172631520371231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23054419383 + ... + 23054426870.

Almost surely, 2^{172631520371232} is an apocalyptic number.

172631520371232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172631520371232 is an abundant number, since it is smaller than the sum of its proper divisors (356052510777132).

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

172631520371232 is a wasteful number, since it uses less digits than its factorization.

172631520371232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46108846282 (or 46108846271 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 172631520371232 in words is "one hundred seventy-two trillion, six hundred thirty-one billion, five hundred twenty million, three hundred seventy-one thousand, two hundred thirty-two".