72946640824319 has 2 divisors, whose sum is σ = 72946640824320. Its totient is φ = 72946640824318.

The previous prime is 72946640824313. The next prime is 72946640824427. The reversal of 72946640824319 is 91342804664927.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72946640824319 is a prime.

It is a super-2 number, since 2×72946640824319² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72946640824313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36473320412159 + 36473320412160.

It is an arithmetic number, because the mean of its divisors is an integer number (36473320412160).

Almost surely, 2^{72946640824319} is an apocalyptic number.

72946640824319 is a deficient number, since it is larger than the sum of its proper divisors (1).

72946640824319 is an equidigital number, since it uses as much as digits as its factorization.

72946640824319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 125411328, while the sum is 65.

The spelling of 72946640824319 in words is "seventy-two trillion, nine hundred forty-six billion, six hundred forty million, eight hundred twenty-four thousand, three hundred nineteen".