172225956 has 144 divisors (see below), whose sum is σ = 507637760. Its totient is φ = 44349120.

The previous prime is 172225951. The next prime is 172225957. The reversal of 172225956 is 659522271.

172225956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×172225956² = 59323559840227872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172225951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2919055 + ... + 2919113.

Almost surely, 2^172225956 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 172225956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253818880).

172225956 is an abundant number, since it is smaller than the sum of its proper divisors (335411804).

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

172225956 is a wasteful number, since it uses less digits than its factorization.

172225956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 121 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 172225956 is about 13123.4887129909. The cubic root of 172225956 is about 556.3731988869.

It can be divided in two parts, 172 and 225956, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 172225956 in words is "one hundred seventy-two million, two hundred twenty-five thousand, nine hundred fifty-six".