72411201460319 has 2 divisors, whose sum is σ = 72411201460320. Its totient is φ = 72411201460318.

The previous prime is 72411201460313. The next prime is 72411201460349. The reversal of 72411201460319 is 91306410211427.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72411201460319 - 2⁸ = 72411201460063 is a prime.

It is a super-4 number, since 4×72411201460319⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72411201460313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36205600730159 + 36205600730160.

It is an arithmetic number, because the mean of its divisors is an integer number (36205600730160).

Almost surely, 2^{72411201460319} is an apocalyptic number.

72411201460319 is a deficient number, since it is larger than the sum of its proper divisors (1).

72411201460319 is an equidigital number, since it uses as much as digits as its factorization.

72411201460319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 72411201460319 in words is "seventy-two trillion, four hundred eleven billion, two hundred one million, four hundred sixty thousand, three hundred nineteen".