172224192 has 112 divisors (see below), whose sum is σ = 525393920. Its totient is φ = 48771072.

The previous prime is 172224191. The next prime is 172224209. The reversal of 172224192 is 291422271.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×172224192² = 59322344620105728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172224191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 170184 + ... + 171192.

Almost surely, 2^172224192 is an apocalyptic number.

172224192 is a gapful number since it is divisible by the number (12) 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 172224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262696960).

172224192 is an abundant number, since it is smaller than the sum of its proper divisors (353169728).

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

172224192 is a wasteful number, since it uses less digits than its factorization.

172224192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 172224192 is about 13123.4215050801. The cubic root of 172224192 is about 556.3712993558.

The spelling of 172224192 in words is "one hundred seventy-two million, two hundred twenty-four thousand, one hundred ninety-two".