727348689 has 24 divisors (see below), whose sum is σ = 1130666472. Its totient is φ = 448888320.

The previous prime is 727348679. The next prime is 727348693. The reversal of 727348689 is 986843727.

It can be written as a sum of positive squares in 4 ways, for example, as 27217089 + 700131600 = 5217^2 + 26460^2 .

It is not a de Polignac number, because 727348689 - 2⁷ = 727348561 is a prime.

It is a super-2 number, since 2×727348689² = 1058072230780037442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (727348679) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29634 + ... + 48299.

It is an arithmetic number, because the mean of its divisors is an integer number (47111103).

Almost surely, 2^727348689 is an apocalyptic number.

It is an amenable number.

727348689 is a deficient number, since it is larger than the sum of its proper divisors (403317783).

727348689 is a wasteful number, since it uses less digits than its factorization.

727348689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78017 (or 78014 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 727348689 is about 26969.4028298737. The cubic root of 727348689 is about 899.3199344007.

The spelling of 727348689 in words is "seven hundred twenty-seven million, three hundred forty-eight thousand, six hundred eighty-nine".