225453072 has 80 divisors (see below), whose sum is σ = 637611968. Its totient is φ = 68221440.

The previous prime is 225453071. The next prime is 225453079. The reversal of 225453072 is 270354522.

It is not an unprimeable number, because it can be changed into a prime (225453071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35103 + ... + 41025.

Almost surely, 2^225453072 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 225453072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318805984).

225453072 is an abundant number, since it is smaller than the sum of its proper divisors (412158896).

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

225453072 is a wasteful number, since it uses less digits than its factorization.

225453072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 225453072 is about 15015.0948048955. The cubic root of 225453072 is about 608.6281740508.

The spelling of 225453072 in words is "two hundred twenty-five million, four hundred fifty-three thousand, seventy-two".