726168257 has 2 divisors, whose sum is σ = 726168258. Its totient is φ = 726168256.

The previous prime is 726168227. The next prime is 726168263. The reversal of 726168257 is 752861627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 722749456 + 3418801 = 26884^2 + 1849^2 .

It is a cyclic number.

It is not a de Polignac number, because 726168257 - 2⁶ = 726168193 is a prime.

It is a super-3 number, since 3×726168257³ (a number of 28 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (726168227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363084128 + 363084129.

It is an arithmetic number, because the mean of its divisors is an integer number (363084129).

Almost surely, 2^726168257 is an apocalyptic number.

It is an amenable number.

726168257 is a deficient number, since it is larger than the sum of its proper divisors (1).

726168257 is an equidigital number, since it uses as much as digits as its factorization.

726168257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 44.

The square root of 726168257 is about 26947.5092912128. The cubic root of 726168257 is about 898.8331615252.

The spelling of 726168257 in words is "seven hundred twenty-six million, one hundred sixty-eight thousand, two hundred fifty-seven".