727276368025 has 81 divisors (see below), whose sum is σ = 977971649949. Its totient is φ = 536407522560.

The previous prime is 727276367981. The next prime is 727276368037. The reversal of 727276368025 is 520863672727.

It is a happy number.

The square root of 727276368025 is 852805.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17011724041 + 710264643984 = 130429^2 + 842772^2 .

It is not a de Polignac number, because 727276368025 - 2³⁷ = 589837414553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5726585512 + ... + 5726585638.

Almost surely, 2^727276368025 is an apocalyptic number.

727276368025 is the 852805-th square number.

727276368025 is the 426403-rd centered octagonal number.

It is an amenable number.

727276368025 is a deficient number, since it is larger than the sum of its proper divisors (250695281924).

727276368025 is an equidigital number, since it uses as much as digits as its factorization.

727276368025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 727276368025 in words is "seven hundred twenty-seven billion, two hundred seventy-six million, three hundred sixty-eight thousand, twenty-five".