172468800 has 504 divisors, whose sum is σ = 737006400. Its totient is φ = 37416960.

The previous prime is 172468759. The next prime is 172468811. The reversal of 172468800 is 8864271.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2923171 + ... + 2923229.

Almost surely, 2^172468800 is an apocalyptic number.

172468800 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 172468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368503200).

172468800 is an abundant number, since it is smaller than the sum of its proper divisors (564537600).

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

172468800 is a wasteful number, since it uses less digits than its factorization.

172468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 172468800 is about 13132.7377191506. The cubic root of 172468800 is about 556.6345772953.

The spelling of 172468800 in words is "one hundred seventy-two million, four hundred sixty-eight thousand, eight hundred".