225472 has 28 divisors (see below), whose sum is σ = 483616. Its totient is φ = 103680.

The previous prime is 225461. The next prime is 225479. The reversal of 225472 is 274522.

It is an Ulam number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (225479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (17272).

2²²⁵⁴⁷² 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 225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241808).

225472 is an abundant number, since it is smaller than the sum of its proper divisors (258144).

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

225472 is a wasteful number, since it uses less digits than its factorization.

225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 225472 is about 474.8389200561. The cubic root of 225472 is about 60.8645206112.

Adding to 225472 its reverse (274522), we get a palindrome (499994).

The spelling of 225472 in words is "two hundred twenty-five thousand, four hundred seventy-two".