368872 has 24 divisors (see below), whose sum is σ = 805410. Its totient is φ = 157920.

The previous prime is 368857. The next prime is 368873. The reversal of 368872 is 278863.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 70756 = 546^2 + 266^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁸ + 6⁷ + 8⁵ + 8⁵ + 7⁵ + 2⁵ .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (368873) by changing a digit.

368872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79 + ... + 862.

368872 is a Friedman number, since it can be written as 8*7*(26+3^8), using all its digits and the basic arithmetic operations.

2³⁶⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

368872 is an abundant number, since it is smaller than the sum of its proper divisors (436538).

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

368872 is a wasteful number, since it uses less digits than its factorization.

368872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 950 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 368872 is about 607.3483349775. The cubic root of 368872 is about 71.7175145426.

Subtracting from 368872 its reverse (278863), we obtain a palindrome (90009).

The spelling of 368872 in words is "three hundred sixty-eight thousand, eight hundred seventy-two".