225720360 has 96 divisors (see below), whose sum is σ = 744007680. Its totient is φ = 59337600.

The previous prime is 225720353. The next prime is 225720389. The reversal of 225720360 is 63027522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21145 + ... + 29975.

It is an arithmetic number, because the mean of its divisors is an integer number (7750080).

Almost surely, 2^225720360 is an apocalyptic number.

225720360 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 225720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372003840).

225720360 is an abundant number, since it is smaller than the sum of its proper divisors (518287320).

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

225720360 is a wasteful number, since it uses less digits than its factorization.

225720360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225720360 is about 15023.9928114999. The cubic root of 225720360 is about 608.8686006722.

Adding to 225720360 its reverse (63027522), we get a palindrome (288747882).

The spelling of 225720360 in words is "two hundred twenty-five million, seven hundred twenty thousand, three hundred sixty".