172355256 has 128 divisors (see below), whose sum is σ = 495206400. Its totient is φ = 55520640.

The previous prime is 172355243. The next prime is 172355291. The reversal of 172355256 is 652553271.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 172355256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357065 + ... + 1357191.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2^172355256 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 172355256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247603200).

172355256 is an abundant number, since it is smaller than the sum of its proper divisors (322851144).

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

172355256 is a wasteful number, since it uses less digits than its factorization.

172355256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 172355256 is about 13128.4140702524. The cubic root of 172355256 is about 556.5123979191.

The spelling of 172355256 in words is "one hundred seventy-two million, three hundred fifty-five thousand, two hundred fifty-six".