172825268 has 72 divisors (see below), whose sum is σ = 393254400. Its totient is φ = 64975680.

The previous prime is 172825259. The next prime is 172825271. The reversal of 172825268 is 862528271.

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, 97373 + ... + 99131.

Almost surely, 2^172825268 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 172825268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196627200).

172825268 is an abundant number, since it is smaller than the sum of its proper divisors (220429132).

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

172825268 is a wasteful number, since it uses less digits than its factorization.

172825268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1808 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 172825268 is about 13146.3024459351. The cubic root of 172825268 is about 557.0178077072.

The spelling of 172825268 in words is "one hundred seventy-two million, eight hundred twenty-five thousand, two hundred sixty-eight".