225076720 has 80 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 81440000.

The previous prime is 225076697. The next prime is 225076741. The reversal of 225076720 is 27670522.

225076720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220371 + ... + 221389.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2^225076720 is an apocalyptic number.

225076720 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 225076720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

225076720 is an abundant number, since it is smaller than the sum of its proper divisors (348636560).

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

225076720 is a wasteful number, since it uses less digits than its factorization.

225076720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 225076720 is about 15002.5571153720. The cubic root of 225076720 is about 608.2893215589.

The spelling of 225076720 in words is "two hundred twenty-five million, seventy-six thousand, seven hundred twenty".