It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ 2!.
It is a tau number, because it is divible by the number of its divisors (108).
It is a nialpdrome in base 12.
172800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
2172800 is an apocalyptic number.
172800 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 172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
172800 is an equidigital number, since it uses as much as digits as its factorization.
172800 is an odious number, because the sum of its binary digits is odd.
The square root of 172800 is about 415.6921938165. The cubic root of 172800 is about 55.6990660034.
The spelling of 172800 in words is "one hundred seventy-two thousand, eight hundred".