72408580427 has 16 divisors (see below), whose sum is σ = 77388199680. Its totient is φ = 67600554912.

The previous prime is 72408580399. The next prime is 72408580459.

It is a happy number.

72408580427 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72408580427 - 2¹⁰ = 72408579403 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a pancake number, because a pancake can be divided into 72408580427 parts by 380548 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72408580927) 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, 47573 + ... + 383510.

It is an arithmetic number, because the mean of its divisors is an integer number (4836762480).

Almost surely, 2^72408580427 is an apocalyptic number.

72408580427 is a deficient number, since it is larger than the sum of its proper divisors (4979619253).

72408580427 is a wasteful number, since it uses less digits than its factorization.

72408580427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431282.

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 72408580427 in words is "seventy-two billion, four hundred eight million, five hundred eighty thousand, four hundred twenty-seven".