225720576 has 81 divisors (see below), whose sum is σ = 652893969. Its totient is φ = 74999808.

The previous prime is 225720559. The next prime is 225720581. The reversal of 225720576 is 675027522.

The square root of 225720576 is 15024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 224280576 = 1200^2 + 14976^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225720576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 720996 + ... + 721308.

Almost surely, 2^225720576 is an apocalyptic number.

225720576 is the 15024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225720576

225720576 is an abundant number, since it is smaller than the sum of its proper divisors (427173393).

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

225720576 is an frugal number, since it uses more digits than its factorization.

225720576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 318 counting only the distinct ones).

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

The cubic root of 225720576 is about 608.8687948883.

Multiplying 225720576 by its sum of digits (36), we get a square (8125940736 = 90144²).

225720576 divided by its sum of digits (36) gives a square (6270016 = 2504²).

It can be divided in two parts, 225 and 720576, that added together give a square (720801 = 849²).

The spelling of 225720576 in words is "two hundred twenty-five million, seven hundred twenty thousand, five hundred seventy-six".