726643825 has 18 divisors (see below), whose sum is σ = 914831142. Its totient is φ = 572443200.

The previous prime is 726643811. The next prime is 726643843. The reversal of 726643825 is 528346627.

It can be written as a sum of positive squares in 3 ways, for example, as 57335184 + 669308641 = 7572^2 + 25871^2 .

It is not a de Polignac number, because 726643825 - 2²⁵ = 693089393 is a prime.

It is a super-2 number, since 2×726643825² = 1056022496821261250, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 1151260 + ... + 1151890.

Almost surely, 2^726643825 is an apocalyptic number.

It is an amenable number.

726643825 is a deficient number, since it is larger than the sum of its proper divisors (188187317).

726643825 is an frugal number, since it uses more digits than its factorization.

726643825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 709 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 726643825 is about 26956.3318164768. The cubic root of 726643825 is about 899.0293341546.

The spelling of 726643825 in words is "seven hundred twenty-six million, six hundred forty-three thousand, eight hundred twenty-five".