172721713382400 has 2112 divisors, whose sum is σ = 749841799053312. Its totient is φ = 34025672540160.

The previous prime is 172721713382327. The next prime is 172721713382401. The reversal of 172721713382400 is 4283317127271.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 172721713382400.

It is not an unprimeable number, because it can be changed into a prime (172721713382401) 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 191 ways as a sum of consecutive naturals, for example, 15088813477 + ... + 15088824923.

Almost surely, 2^{172721713382400} is an apocalyptic number.

172721713382400 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 172721713382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374920899526656).

172721713382400 is an abundant number, since it is smaller than the sum of its proper divisors (577120085670912).

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

172721713382400 is a wasteful number, since it uses less digits than its factorization.

172721713382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 172721713382400 in words is "one hundred seventy-two trillion, seven hundred twenty-one billion, seven hundred thirteen million, three hundred eighty-two thousand, four hundred".