172900224 has 192 divisors, whose sum is σ = 594190800. Its totient is φ = 49351680.

The previous prime is 172900201. The next prime is 172900241. The reversal of 172900224 is 422009271.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 168834 + ... + 169854.

Almost surely, 2^172900224 is an apocalyptic number.

172900224 is a gapful number since it is divisible by the number (14) 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 172900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297095400).

172900224 is an abundant number, since it is smaller than the sum of its proper divisors (421290576).

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

172900224 is a wasteful number, since it uses less digits than its factorization.

172900224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 172900224 is about 13149.1529765229. The cubic root of 172900224 is about 557.0983240821.

Adding to 172900224 its reverse (422009271), we get a palindrome (594909495).

The spelling of 172900224 in words is "one hundred seventy-two million, nine hundred thousand, two hundred twenty-four".