225728 has 14 divisors (see below), whose sum is σ = 448056. Its totient is φ = 112832.

The previous prime is 225721. The next prime is 225733. The reversal of 225728 is 827522.

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁶ + 7⁵ + 5² + 2¹⁷ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 225697 and 225706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225721) by changing a digit.

225728 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 as a sum of consecutive naturals, namely, 1700 + ... + 1827.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2²²⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

225728 is a deficient number, since it is larger than the sum of its proper divisors (222328).

225728 is an equidigital number, since it uses as much as digits as its factorization.

225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3529 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 225728 is about 475.1084086816. The cubic root of 225728 is about 60.8875470092.

The spelling of 225728 in words is "two hundred twenty-five thousand, seven hundred twenty-eight".