726272541634331 has 2 divisors, whose sum is σ = 726272541634332. Its totient is φ = 726272541634330.

The previous prime is 726272541634307. The next prime is 726272541634369. The reversal of 726272541634331 is 133436145272627.

It is a weak prime.

It is an emirp because it is prime and its reverse (133436145272627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 726272541634331 - 2¹⁴ = 726272541617947 is a prime.

It is a super-2 number, since 2×726272541634331² (a number of 31 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (726272541634301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363136270817165 + 363136270817166.

It is an arithmetic number, because the mean of its divisors is an integer number (363136270817166).

Almost surely, 2^{726272541634331} is an apocalyptic number.

726272541634331 is a deficient number, since it is larger than the sum of its proper divisors (1).

726272541634331 is an equidigital number, since it uses as much as digits as its factorization.

726272541634331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30481920, while the sum is 56.

The spelling of 726272541634331 in words is "seven hundred twenty-six trillion, two hundred seventy-two billion, five hundred forty-one million, six hundred thirty-four thousand, three hundred thirty-one".