72438083427 has 16 divisors (see below), whose sum is σ = 102319293312. Its totient is φ = 45427451520.

The previous prime is 72438083407. The next prime is 72438083441.

72438083427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72438083427 - 2⁶ = 72438083363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72438083407) 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, 275149 + ... + 469662.

It is an arithmetic number, because the mean of its divisors is an integer number (6394955832).

Almost surely, 2^72438083427 is an apocalyptic number.

72438083427 is a deficient number, since it is larger than the sum of its proper divisors (29881209885).

72438083427 is a wasteful number, since it uses less digits than its factorization.

72438083427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746738.

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 72438083427 in words is "seventy-two billion, four hundred thirty-eight million, eighty-three thousand, four hundred twenty-seven".