225720000 has 560 divisors, whose sum is σ = 952195200. Its totient is φ = 51840000.

The previous prime is 225719971. The next prime is 225720037. The reversal of 225720000 is 27522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11879991 + ... + 11880009.

Almost surely, 2^225720000 is an apocalyptic number.

225720000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476097600).

225720000 is an abundant number, since it is smaller than the sum of its proper divisors (726475200).

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

225720000 is a wasteful number, since it uses less digits than its factorization.

225720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 225720000 is about 15023.9808306587. The cubic root of 225720000 is about 608.8682769784.

Adding to 225720000 its reverse (27522), we get a palindrome (225747522).

The spelling of 225720000 in words is "two hundred twenty-five million, seven hundred twenty thousand".