172720800 has 432 divisors, whose sum is σ = 731203200. Its totient is φ = 37509120.

The previous prime is 172720783. The next prime is 172720813. The reversal of 172720800 is 8027271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159126 + ... + 1159274.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^172720800 is an apocalyptic number.

172720800 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 172720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

172720800 is an abundant number, since it is smaller than the sum of its proper divisors (558482400).

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

172720800 is a wasteful number, since it uses less digits than its factorization.

172720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 172720800 is about 13142.3285607993. The cubic root of 172720800 is about 556.9055512342.

The spelling of 172720800 in words is "one hundred seventy-two million, seven hundred twenty thousand, eight hundred".