72661216627 has 2 divisors, whose sum is σ = 72661216628. Its totient is φ = 72661216626.

The previous prime is 72661216619. The next prime is 72661216633.

72661216627 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 72661216627 - 2³ = 72661216619 is a prime.

It is not a weakly prime, because it can be changed into another prime (72661216427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36330608313 + 36330608314.

It is an arithmetic number, because the mean of its divisors is an integer number (36330608314).

Almost surely, 2^72661216627 is an apocalyptic number.

72661216627 is a deficient number, since it is larger than the sum of its proper divisors (1).

72661216627 is an equidigital number, since it uses as much as digits as its factorization.

72661216627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 508032, while the sum is 46.

The spelling of 72661216627 in words is "seventy-two billion, six hundred sixty-one million, two hundred sixteen thousand, six hundred twenty-seven".