172440800 has 216 divisors, whose sum is σ = 504952056. Its totient is φ = 57308160.

The previous prime is 172440799. The next prime is 172440803. The reversal of 172440800 is 8044271.

It is a self number, because there is not a number n which added to its sum of digits gives 172440800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172440803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2077559 + ... + 2077641.

It is an arithmetic number, because the mean of its divisors is an integer number (2337741).

Almost surely, 2^172440800 is an apocalyptic number.

172440800 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 172440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252476028).

172440800 is an abundant number, since it is smaller than the sum of its proper divisors (332511256).

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

172440800 is a wasteful number, since it uses less digits than its factorization.

172440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 172440800 is about 13131.6716376857. The cubic root of 172440800 is about 556.6044527903.

It can be divided in two parts, 1724 and 40800, that added together give a palindrome (42524).

The spelling of 172440800 in words is "one hundred seventy-two million, four hundred forty thousand, eight hundred".