172672138800 has 900 divisors, whose sum is σ = 733111704336. Its totient is φ = 38799129600.

The previous prime is 172672138789. The next prime is 172672138819. The reversal of 172672138800 is 8831276271.

172672138800 is a `hidden beast` number, since 1 + 7 + 267 + 2 + 1 + 388 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 96842709 + ... + 96844491.

Almost surely, 2^172672138800 is an apocalyptic number.

172672138800 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 172672138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366555852168).

172672138800 is an abundant number, since it is smaller than the sum of its proper divisors (560439565536).

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

172672138800 is a wasteful number, since it uses less digits than its factorization.

172672138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 172672138800 in words is "one hundred seventy-two billion, six hundred seventy-two million, one hundred thirty-eight thousand, eight hundred".