172102400 has 54 divisors (see below), whose sum is σ = 425996172. Its totient is φ = 68838400.

The previous prime is 172102393. The next prime is 172102423. The reversal of 172102400 is 4201271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7046 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (7888818).

Almost surely, 2^172102400 is an apocalyptic number.

172102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172102400 is an abundant number, since it is smaller than the sum of its proper divisors (253893772).

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

172102400 is an equidigital number, since it uses as much as digits as its factorization.

172102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26917 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 172102400 is about 13118.7804311224. The cubic root of 172102400 is about 556.2401184963.

Adding to 172102400 its reverse (4201271), we get a palindrome (176303671).

The spelling of 172102400 in words is "one hundred seventy-two million, one hundred two thousand, four hundred".