72344866844327 has 8 divisors (see below), whose sum is σ = 90196197624192. Its totient is φ = 56372623515000.

The previous prime is 72344866844321. The next prime is 72344866844333.

72344866844327 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72344866844321) and next prime (72344866844333).

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 72344866844327 - 2⁴ = 72344866844311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72344866844321) 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 7 ways as a sum of consecutive naturals, for example, 469771862549 + ... + 469771862702.

It is an arithmetic number, because the mean of its divisors is an integer number (11274524703024).

Almost surely, 2^{72344866844327} is an apocalyptic number.

72344866844327 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72344866844327 is a deficient number, since it is larger than the sum of its proper divisors (17851330779865).

72344866844327 is a wasteful number, since it uses less digits than its factorization.

72344866844327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939543725269.

The product of its digits is 1040449536, while the sum is 68.

The spelling of 72344866844327 in words is "seventy-two trillion, three hundred forty-four billion, eight hundred sixty-six million, eight hundred forty-four thousand, three hundred twenty-seven".