72313444431327 has 8 divisors (see below), whose sum is σ = 105183191900160. Its totient is φ = 43826329958360.

The previous prime is 72313444431323. The next prime is 72313444431343.

It is a happy number.

72313444431327 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72313444431327 - 2² = 72313444431323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313444431323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095658248927 + ... + 1095658248992.

It is an arithmetic number, because the mean of its divisors is an integer number (13147898987520).

Almost surely, 2^{72313444431327} is an apocalyptic number.

72313444431327 is a deficient number, since it is larger than the sum of its proper divisors (32869747468833).

72313444431327 is a wasteful number, since it uses less digits than its factorization.

72313444431327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191316497933.

The product of its digits is 4064256, while the sum is 48.

The spelling of 72313444431327 in words is "seventy-two trillion, three hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, three hundred twenty-seven".