172314400 has 36 divisors (see below), whose sum is σ = 420664482. Its totient is φ = 68925440.

The previous prime is 172314343. The next prime is 172314407. The reversal of 172314400 is 4413271.

It can be written as a sum of positive squares in 3 ways, for example, as 164762896 + 7551504 = 12836^2 + 2748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172314407) 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 5 ways as a sum of consecutive naturals, for example, 106897 + ... + 108496.

Almost surely, 2^172314400 is an apocalyptic number.

172314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172314400 is an abundant number, since it is smaller than the sum of its proper divisors (248350082).

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

172314400 is a wasteful number, since it uses less digits than its factorization.

172314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215413 (or 215400 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 172314400 is about 13126.8579637322. The cubic root of 172314400 is about 556.4684215650.

Adding to 172314400 its reverse (4413271), we get a palindrome (176727671).

The spelling of 172314400 in words is "one hundred seventy-two million, three hundred fourteen thousand, four hundred".