72314712436301 has 2 divisors, whose sum is σ = 72314712436302. Its totient is φ = 72314712436300.

The previous prime is 72314712436261. The next prime is 72314712436303. The reversal of 72314712436301 is 10363421741327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46306650400201 + 26008062036100 = 6804899^2 + 5099810^2 .

It is an emirp because it is prime and its reverse (10363421741327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72314712436301 - 2⁶ = 72314712436237 is a prime.

Together with 72314712436303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72314712436303) 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, 36157356218150 + 36157356218151.

It is an arithmetic number, because the mean of its divisors is an integer number (36157356218151).

Almost surely, 2^{72314712436301} is an apocalyptic number.

It is an amenable number.

72314712436301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72314712436301 is an equidigital number, since it uses as much as digits as its factorization.

72314712436301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 72314712436301 in words is "seventy-two trillion, three hundred fourteen billion, seven hundred twelve million, four hundred thirty-six thousand, three hundred one".