225716742272 has 120 divisors (see below), whose sum is σ = 525196701285. Its totient is φ = 96622869504.

The previous prime is 225716742271. The next prime is 225716742281. The reversal of 225716742272 is 272247617522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 171680950336 + 54035791936 = 414344^2 + 232456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335944.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225716742271) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 263379668 + ... + 263380524.

Almost surely, 2^225716742272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225716742272

225716742272 is an abundant number, since it is smaller than the sum of its proper divisors (299479959013).

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

225716742272 is an frugal number, since it uses more digits than its factorization.

225716742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 866 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 47.

The spelling of 225716742272 in words is "two hundred twenty-five billion, seven hundred sixteen million, seven hundred forty-two thousand, two hundred seventy-two".