72487733778427 has 72 divisors (see below), whose sum is σ = 82473490209152. Its totient is φ = 63650619901440.

The previous prime is 72487733778371. The next prime is 72487733778457.

72487733778427 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-72487733778427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72487733778457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15060819073 + ... + 15060823885.

Almost surely, 2^{72487733778427} is an apocalyptic number.

72487733778427 is a deficient number, since it is larger than the sum of its proper divisors (9985756430725).

72487733778427 is a wasteful number, since it uses less digits than its factorization.

72487733778427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5557 counting only the distinct ones).

The product of its digits is 4337012736, while the sum is 76.

The spelling of 72487733778427 in words is "seventy-two trillion, four hundred eighty-seven billion, seven hundred thirty-three million, seven hundred seventy-eight thousand, four hundred twenty-seven".