722355507225 has 405 divisors, whose sum is σ = 1577977405543. Its totient is φ = 326367360000.

The previous prime is 722355507151. The next prime is 722355507253. The reversal of 722355507225 is 522705553227.

The square root of 722355507225 is 849915.

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

722355507225 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 5 + 550 + 72 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1513754649 + 720841752576 = 38907^2 + 849024^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 722355507225 - 2³⁹ = 172599693337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 7152034675 + ... + 7152034775.

Almost surely, 2^722355507225 is an apocalyptic number.

722355507225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

722355507225 is the 849915-th square number.

722355507225 is the 424958-th centered octagonal number.

It is an amenable number.

722355507225 is an abundant number, since it is smaller than the sum of its proper divisors (855621898318).

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

722355507225 is a wasteful number, since it uses less digits than its factorization.

722355507225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 45.

The spelling of 722355507225 in words is "seven hundred twenty-two billion, three hundred fifty-five million, five hundred seven thousand, two hundred twenty-five".