72664735272671 has 2 divisors, whose sum is σ = 72664735272672. Its totient is φ = 72664735272670.

The previous prime is 72664735272643. The next prime is 72664735272673. The reversal of 72664735272671 is 17627253746627.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72664735272671 is a prime.

Together with 72664735272673, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72664735272598 and 72664735272607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72664735272673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36332367636335 + 36332367636336.

It is an arithmetic number, because the mean of its divisors is an integer number (36332367636336).

Almost surely, 2^{72664735272671} is an apocalyptic number.

72664735272671 is a deficient number, since it is larger than the sum of its proper divisors (1).

72664735272671 is an equidigital number, since it uses as much as digits as its factorization.

72664735272671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248935680, while the sum is 65.

The spelling of 72664735272671 in words is "seventy-two trillion, six hundred sixty-four billion, seven hundred thirty-five million, two hundred seventy-two thousand, six hundred seventy-one".