225792 has 90 divisors (see below), whose sum is σ = 758043. Its totient is φ = 64512.

The previous prime is 225781. The next prime is 225809. The reversal of 225792 is 297522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 112896 = 336^2 + 336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336.

Its product of digits (2520) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225792.

It is an unprimeable number.

225792 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 8 ways as a sum of consecutive naturals, for example, 32253 + ... + 32259.

225792 is a Friedman number, since it can be written as 2^9*(7*(5-2))^2, using all its digits and the basic arithmetic operations.

2²²⁵⁷⁹² 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 225792

225792 is an abundant number, since it is smaller than the sum of its proper divisors (532251).

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

225792 is an equidigital number, since it uses as much as digits as its factorization.

225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 225792 is about 475.1757569574. The cubic root of 225792 is about 60.8933008882.

The spelling of 225792 in words is "two hundred twenty-five thousand, seven hundred ninety-two".