72733300369 has 2 divisors, whose sum is σ = 72733300370. Its totient is φ = 72733300368.

The previous prime is 72733300307. The next prime is 72733300403. The reversal of 72733300369 is 96300333727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72528953344 + 204347025 = 269312^2 + 14295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72733300369 is a prime.

It is a super-2 number, since 2×72733300369² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72733300669) 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, 36366650184 + 36366650185.

It is an arithmetic number, because the mean of its divisors is an integer number (36366650185).

Almost surely, 2^72733300369 is an apocalyptic number.

It is an amenable number.

72733300369 is a deficient number, since it is larger than the sum of its proper divisors (1).

72733300369 is an equidigital number, since it uses as much as digits as its factorization.

72733300369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 428652, while the sum is 43.

The spelling of 72733300369 in words is "seventy-two billion, seven hundred thirty-three million, three hundred thousand, three hundred sixty-nine".