72371017327 has 8 divisors (see below), whose sum is σ = 83842744736. Its totient is φ = 61182542592.

The previous prime is 72371017319. The next prime is 72371017331.

72371017327 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 72371017327 - 2³ = 72371017319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72371017327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72371018327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70812618 + ... + 70813639.

It is an arithmetic number, because the mean of its divisors is an integer number (10480343092).

Almost surely, 2^72371017327 is an apocalyptic number.

72371017327 is a deficient number, since it is larger than the sum of its proper divisors (11471727409).

72371017327 is a wasteful number, since it uses less digits than its factorization.

72371017327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141626337.

The product of its (nonzero) digits is 86436, while the sum is 40.

The spelling of 72371017327 in words is "seventy-two billion, three hundred seventy-one million, seventeen thousand, three hundred twenty-seven".