172800000 has 288 divisors, whose sum is σ = 639802800. Its totient is φ = 46080000.

The previous prime is 172799993. The next prime is 172800029. The reversal of 172800000 is 8271.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34559998 + ... + 34560002.

Almost surely, 2^172800000 is an apocalyptic number.

172800000 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 172800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319901400).

172800000 is an abundant number, since it is smaller than the sum of its proper divisors (467002800).

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

172800000 is an frugal number, since it uses more digits than its factorization.

172800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 172800000 is about 13145.3413801240. The cubic root of 172800000 is about 556.9906600335.

Adding to 172800000 its reverse (8271), we get a palindrome (172808271).

The spelling of 172800000 in words is "one hundred seventy-two million, eight hundred thousand".