72456865427 has 8 divisors (see below), whose sum is σ = 76291234560. Its totient is φ = 68624581320.

The previous prime is 72456865421. The next prime is 72456865447.

72456865427 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 not a de Polignac number, because 72456865427 - 2²⁴ = 72440088211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72456865421) 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, 449663 + ... + 589160.

It is an arithmetic number, because the mean of its divisors is an integer number (9536404320).

Almost surely, 2^72456865427 is an apocalyptic number.

72456865427 is a deficient number, since it is larger than the sum of its proper divisors (3834369133).

72456865427 is a wasteful number, since it uses less digits than its factorization.

72456865427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042513.

The product of its digits is 22579200, while the sum is 56.

The spelling of 72456865427 in words is "seventy-two billion, four hundred fifty-six million, eight hundred sixty-five thousand, four hundred twenty-seven".