72416243101193 has 2 divisors, whose sum is σ = 72416243101194. Its totient is φ = 72416243101192.

The previous prime is 72416243101187. The next prime is 72416243101261. The reversal of 72416243101193 is 39110134261427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41778280086544 + 30637963014649 = 6463612^2 + 5535157^2 .

It is a cyclic number.

It is not a de Polignac number, because 72416243101193 - 2⁸ = 72416243100937 is a prime.

It is a super-2 number, since 2×72416243101193² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72416243151193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36208121550596 + 36208121550597.

It is an arithmetic number, because the mean of its divisors is an integer number (36208121550597).

Almost surely, 2^{72416243101193} is an apocalyptic number.

It is an amenable number.

72416243101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416243101193 is an equidigital number, since it uses as much as digits as its factorization.

72416243101193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 72416243101193 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred one thousand, one hundred ninety-three".