172133856 has 96 divisors (see below), whose sum is σ = 504554400. Its totient is φ = 57093120.

The previous prime is 172133851. The next prime is 172133893. The reversal of 172133856 is 658331271.

It is a tau number, because it is divible by the number of its divisors (96).

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 172133856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172133851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242430 + ... + 243138.

It is an arithmetic number, because the mean of its divisors is an integer number (5255775).

Almost surely, 2^172133856 is an apocalyptic number.

172133856 is a gapful number since it is divisible by the number (16) 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 172133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252277200).

172133856 is an abundant number, since it is smaller than the sum of its proper divisors (332420544).

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

172133856 is a wasteful number, since it uses less digits than its factorization.

172133856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 995 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 172133856 is about 13119.9792682763. The cubic root of 172133856 is about 556.2740053437.

The spelling of 172133856 in words is "one hundred seventy-two million, one hundred thirty-three thousand, eight hundred fifty-six".