72416321041073 has 2 divisors, whose sum is σ = 72416321041074. Its totient is φ = 72416321041072.

The previous prime is 72416321041013. The next prime is 72416321041109. The reversal of 72416321041073 is 37014012361427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71921390499904 + 494930541169 = 8480648^2 + 703513^2 .

It is a cyclic number.

It is not a de Polignac number, because 72416321041073 - 2¹⁴ = 72416321024689 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72416321041073.

It is not a weakly prime, because it can be changed into another prime (72416321041013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36208160520536 + 36208160520537.

It is an arithmetic number, because the mean of its divisors is an integer number (36208160520537).

Almost surely, 2^{72416321041073} is an apocalyptic number.

It is an amenable number.

72416321041073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416321041073 is an equidigital number, since it uses as much as digits as its factorization.

72416321041073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 72416321041073 in words is "seventy-two trillion, four hundred sixteen billion, three hundred twenty-one million, forty-one thousand, seventy-three".