225756720 has 420 divisors, whose sum is σ = 927038880. Its totient is φ = 50948352.

The previous prime is 225756697. The next prime is 225756743. The reversal of 225756720 is 27657522.

225756720 is a `hidden beast` number, since 2 + 2 + 575 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (225756697) and next prime (225756743).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 2857641 + ... + 2857719.

Almost surely, 2^225756720 is an apocalyptic number.

225756720 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 225756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463519440).

225756720 is an abundant number, since it is smaller than the sum of its proper divisors (701282160).

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

225756720 is an equidigital number, since it uses as much as digits as its factorization.

225756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 225756720 is about 15025.2028272500. The cubic root of 225756720 is about 608.9012919688.

The spelling of 225756720 in words is "two hundred twenty-five million, seven hundred fifty-six thousand, seven hundred twenty".