726673035217 has 2 divisors, whose sum is σ = 726673035218. Its totient is φ = 726673035216.

The previous prime is 726673035163. The next prime is 726673035251. The reversal of 726673035217 is 712530376627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415968241936 + 310704793281 = 644956^2 + 557409^2 .

It is a cyclic number.

It is not a de Polignac number, because 726673035217 - 2⁷ = 726673035089 is a prime.

It is a super-2 number, since 2×726673035217² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (726673036217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363336517608 + 363336517609.

It is an arithmetic number, because the mean of its divisors is an integer number (363336517609).

Almost surely, 2^726673035217 is an apocalyptic number.

It is an amenable number.

726673035217 is a deficient number, since it is larger than the sum of its proper divisors (1).

726673035217 is an equidigital number, since it uses as much as digits as its factorization.

726673035217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 49.

The spelling of 726673035217 in words is "seven hundred twenty-six billion, six hundred seventy-three million, thirty-five thousand, two hundred seventeen".