72733816307 has 2 divisors, whose sum is σ = 72733816308. Its totient is φ = 72733816306.

The previous prime is 72733816291. The next prime is 72733816339. The reversal of 72733816307 is 70361833727.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72733816307 - 2⁴ = 72733816291 is a prime.

It is not a weakly prime, because it can be changed into another prime (72733816367) 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, 36366908153 + 36366908154.

It is an arithmetic number, because the mean of its divisors is an integer number (36366908154).

Almost surely, 2^72733816307 is an apocalyptic number.

72733816307 is a deficient number, since it is larger than the sum of its proper divisors (1).

72733816307 is an equidigital number, since it uses as much as digits as its factorization.

72733816307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 889056, while the sum is 47.

The spelling of 72733816307 in words is "seventy-two billion, seven hundred thirty-three million, eight hundred sixteen thousand, three hundred seven".