72416243101331 has 2 divisors, whose sum is σ = 72416243101332. Its totient is φ = 72416243101330.

The previous prime is 72416243101313. The next prime is 72416243101361. The reversal of 72416243101331 is 13310134261427.

Together with previous prime (72416243101313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72416243101331 is a prime.

It is a super-2 number, since 2×72416243101331² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72416243101361) 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, 36208121550665 + 36208121550666.

It is an arithmetic number, because the mean of its divisors is an integer number (36208121550666).

Almost surely, 2^{72416243101331} is an apocalyptic number.

72416243101331 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416243101331 is an equidigital number, since it uses as much as digits as its factorization.

72416243101331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

Adding to 72416243101331 its reverse (13310134261427), we get a palindrome (85726377362758).

The spelling of 72416243101331 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred one thousand, three hundred thirty-one".