72331213327 has 8 divisors (see below), whose sum is σ = 73469620800. Its totient is φ = 71201085600.

The previous prime is 72331213321. The next prime is 72331213333.

72331213327 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72331213321) and next prime (72331213333).

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 72331213327 - 2³ = 72331213319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72331213292 and 72331213301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72331213321) 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, 2052327 + ... + 2087272.

It is an arithmetic number, because the mean of its divisors is an integer number (9183702600).

Almost surely, 2^72331213327 is an apocalyptic number.

72331213327 is a deficient number, since it is larger than the sum of its proper divisors (1138407473).

72331213327 is a wasteful number, since it uses less digits than its factorization.

72331213327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139873.

The product of its digits is 31752, while the sum is 34.

The spelling of 72331213327 in words is "seventy-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-seven".