172224936 has 96 divisors (see below), whose sum is σ = 516002760. Its totient is φ = 51549696.

The previous prime is 172224919. The next prime is 172224959. The reversal of 172224936 is 639422271.

It can be written as a sum of positive squares in 4 ways, for example, as 158608836 + 13616100 = 12594^2 + 3690^2 .

It is a super-2 number, since 2×172224936² = 59322857160408192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172224936.

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, 32146 + ... + 37118.

Almost surely, 2^172224936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172224936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258001380).

172224936 is an abundant number, since it is smaller than the sum of its proper divisors (343777824).

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

172224936 is a wasteful number, since it uses less digits than its factorization.

172224936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5028 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 172224936 is about 13123.4498513158. The cubic root of 172224936 is about 556.3721005202.

The spelling of 172224936 in words is "one hundred seventy-two million, two hundred twenty-four thousand, nine hundred thirty-six".