72413031427 has 8 divisors (see below), whose sum is σ = 78999224832. Its totient is φ = 65827369800.

The previous prime is 72413031413. The next prime is 72413031437.

72413031427 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 a de Polignac number, because none of the positive numbers 2^k-72413031427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72413031392 and 72413031401.

It is not an unprimeable number, because it can be changed into a prime (72413031437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184818 + ... + 423064.

It is an arithmetic number, because the mean of its divisors is an integer number (9874903104).

Almost surely, 2^72413031427 is an apocalyptic number.

72413031427 is a deficient number, since it is larger than the sum of its proper divisors (6586193405).

72413031427 is a wasteful number, since it uses less digits than its factorization.

72413031427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265889.

The product of its (nonzero) digits is 28224, while the sum is 34.

It can be divided in two parts, 724130 and 31427, that added together give a palindrome (755557).

The spelling of 72413031427 in words is "seventy-two billion, four hundred thirteen million, thirty-one thousand, four hundred twenty-seven".