225270720 has 168 divisors, whose sum is σ = 803812464. Its totient is φ = 60051456.

The previous prime is 225270719. The next prime is 225270733. The reversal of 225270720 is 27072522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 76312 + ... + 79208.

It is an arithmetic number, because the mean of its divisors is an integer number (4784598).

Almost surely, 2^225270720 is an apocalyptic number.

225270720 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 225270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401906232).

225270720 is an abundant number, since it is smaller than the sum of its proper divisors (578541744).

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

225270720 is an equidigital number, since it uses as much as digits as its factorization.

225270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 225270720 is about 15009.0212872126. The cubic root of 225270720 is about 608.4640386358.

The spelling of 225270720 in words is "two hundred twenty-five million, two hundred seventy thousand, seven hundred twenty".