368772 has 24 divisors (see below), whose sum is σ = 873600. Its totient is φ = 121056.

The previous prime is 368743. The next prime is 368773. The reversal of 368772 is 277863.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (368773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2³⁶⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

368772 is an abundant number, since it is smaller than the sum of its proper divisors (504828).

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

368772 is a wasteful number, since it uses less digits than its factorization.

368772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 368772 is about 607.2660043177. The cubic root of 368772 is about 71.7110331619.

Subtracting from 368772 its reverse (277863), we obtain a palindrome (90909).

The spelling of 368772 in words is "three hundred sixty-eight thousand, seven hundred seventy-two".