172328400 has 90 divisors (see below), whose sum is σ = 598039910. Its totient is φ = 45953280.

The previous prime is 172328389. The next prime is 172328407. The reversal of 172328400 is 4823271.

It can be written as a sum of positive squares in 3 ways, for example, as 27751824 + 144576576 = 5268^2 + 12024^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172328407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 20335 + ... + 27534.

Almost surely, 2^172328400 is an apocalyptic number.

172328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172328400 is an abundant number, since it is smaller than the sum of its proper divisors (425711510).

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

172328400 is a wasteful number, since it uses less digits than its factorization.

172328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47893 (or 47879 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 172328400 is about 13127.3912107471. The cubic root of 172328400 is about 556.4834915899.

The spelling of 172328400 in words is "one hundred seventy-two million, three hundred twenty-eight thousand, four hundred".