72711466126433 has 2 divisors, whose sum is σ = 72711466126434. Its totient is φ = 72711466126432.

The previous prime is 72711466126421. The next prime is 72711466126459. The reversal of 72711466126433 is 33462166411727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44207698338769 + 28503767787664 = 6648887^2 + 5338892^2 .

It is a cyclic number.

It is not a de Polignac number, because 72711466126433 - 2⁸ = 72711466126177 is a prime.

It is not a weakly prime, because it can be changed into another prime (72711466126493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36355733063216 + 36355733063217.

It is an arithmetic number, because the mean of its divisors is an integer number (36355733063217).

Almost surely, 2^{72711466126433} is an apocalyptic number.

It is an amenable number.

72711466126433 is a deficient number, since it is larger than the sum of its proper divisors (1).

72711466126433 is an equidigital number, since it uses as much as digits as its factorization.

72711466126433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6096384, while the sum is 53.

The spelling of 72711466126433 in words is "seventy-two trillion, seven hundred eleven billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred thirty-three".