172755200772 has 432 divisors, whose sum is σ = 596126003200. Its totient is φ = 41134262400.

The previous prime is 172755200759. The next prime is 172755200819. The reversal of 172755200772 is 277002557271.

172755200772 is a `hidden beast` number, since 1 + 7 + 27 + 552 + 0 + 0 + 7 + 72 = 666.

172755200772 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 17954979 + ... + 17964597.

Almost surely, 2^172755200772 is an apocalyptic number.

172755200772 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 172755200772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298063001600).

172755200772 is an abundant number, since it is smaller than the sum of its proper divisors (423370802428).

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

172755200772 is a wasteful number, since it uses less digits than its factorization.

172755200772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The spelling of 172755200772 in words is "one hundred seventy-two billion, seven hundred fifty-five million, two hundred thousand, seven hundred seventy-two".