368172 has 48 divisors (see below), whose sum is σ = 1093120. Its totient is φ = 104976.

The previous prime is 368171. The next prime is 368189. The reversal of 368172 is 271863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368172.

It is not an unprimeable number, because it can be changed into a prime (368171) 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, 513 + ... + 999.

2³⁶⁸¹⁷² 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 368172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546560).

368172 is an abundant number, since it is smaller than the sum of its proper divisors (724948).

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

368172 is a wasteful number, since it uses less digits than its factorization.

368172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 368172 is about 606.7717857646. The cubic root of 368172 is about 71.6721202508.

The spelling of 368172 in words is "three hundred sixty-eight thousand, one hundred seventy-two".