727746601 has 2 divisors, whose sum is σ = 727746602. Its totient is φ = 727746600.

The previous prime is 727746587. The next prime is 727746623. The reversal of 727746601 is 106647727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727704576 + 42025 = 26976^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 727746601 - 2¹⁷ = 727615529 is a prime.

It is not a weakly prime, because it can be changed into another prime (727746101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363873300 + 363873301.

It is an arithmetic number, because the mean of its divisors is an integer number (363873301).

Almost surely, 2^727746601 is an apocalyptic number.

It is an amenable number.

727746601 is a deficient number, since it is larger than the sum of its proper divisors (1).

727746601 is an equidigital number, since it uses as much as digits as its factorization.

727746601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 727746601 is about 26976.7789218802. The cubic root of 727746601 is about 899.4839020466.

The spelling of 727746601 in words is "seven hundred twenty-seven million, seven hundred forty-six thousand, six hundred one".