72344266244327 has 72 divisors (see below), whose sum is σ = 92684753860608. Its totient is φ = 56260636296480.

The previous prime is 72344266244317. The next prime is 72344266244339.

72344266244327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72344266244327 - 2¹⁰ = 72344266243303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72344266244317) 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 in 71 ways as a sum of consecutive naturals, for example, 7759757888 + ... + 7759767210.

It is an arithmetic number, because the mean of its divisors is an integer number (1287288248064).

Almost surely, 2^{72344266244327} is an apocalyptic number.

72344266244327 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72344266244327 is a deficient number, since it is larger than the sum of its proper divisors (20340487616281).

72344266244327 is a wasteful number, since it uses less digits than its factorization.

72344266244327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11791 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 56.

The spelling of 72344266244327 in words is "seventy-two trillion, three hundred forty-four billion, two hundred sixty-six million, two hundred forty-four thousand, three hundred twenty-seven".