727378708225 has 27 divisors (see below), whose sum is σ = 976741757499. Its totient is φ = 537100262400.

The previous prime is 727378708219. The next prime is 727378708237. The reversal of 727378708225 is 522807873727.

The square root of 727378708225 is 852865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 711689642689 + 15689065536 = 843617^2 + 125256^2 .

It is not a de Polignac number, because 727378708225 - 2¹⁷ = 727378577153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 727378708225.

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 26 ways as a sum of consecutive naturals, for example, 55429665 + ... + 55442785.

Almost surely, 2^727378708225 is an apocalyptic number.

727378708225 is the 852865-th square number.

727378708225 is the 426433-rd centered octagonal number.

It is an amenable number.

727378708225 is a deficient number, since it is larger than the sum of its proper divisors (249363049274).

727378708225 is an frugal number, since it uses more digits than its factorization.

727378708225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 58.

The spelling of 727378708225 in words is "seven hundred twenty-seven billion, three hundred seventy-eight million, seven hundred eight thousand, two hundred twenty-five".