72468686427 has 16 divisors (see below), whose sum is σ = 99535603200. Its totient is φ = 46872195552.

The previous prime is 72468686413. The next prime is 72468686443.

72468686427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72468686427 - 2⁷ = 72468686299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72468686497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865923 + ... + 1904364.

It is an arithmetic number, because the mean of its divisors is an integer number (6220975200).

Almost surely, 2^72468686427 is an apocalyptic number.

72468686427 is a deficient number, since it is larger than the sum of its proper divisors (27066916773).

72468686427 is a wasteful number, since it uses less digits than its factorization.

72468686427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770482.

The product of its digits is 43352064, while the sum is 60.

The spelling of 72468686427 in words is "seventy-two billion, four hundred sixty-eight million, six hundred eighty-six thousand, four hundred twenty-seven".