172041168 has 80 divisors (see below), whose sum is σ = 486843840. Its totient is φ = 52027392.

The previous prime is 172041161. The next prime is 172041203. The reversal of 172041168 is 861140271.

172041168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172041161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34480 + ... + 39152.

It is an arithmetic number, because the mean of its divisors is an integer number (6085548).

Almost surely, 2^172041168 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 172041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243421920).

172041168 is an abundant number, since it is smaller than the sum of its proper divisors (314802672).

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

172041168 is a wasteful number, since it uses less digits than its factorization.

172041168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 172041168 is about 13116.4464699857. The cubic root of 172041168 is about 556.1741427844.

The spelling of 172041168 in words is "one hundred seventy-two million, forty-one thousand, one hundred sixty-eight".