72748782689 has 24 divisors (see below), whose sum is σ = 80999170560. Its totient is φ = 65284076000.

The previous prime is 72748782637. The next prime is 72748782697. The reversal of 72748782689 is 98628784727.

It is a de Polignac number, because none of the positive numbers 2^k-72748782689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72748782989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3015527 + ... + 3039555.

It is an arithmetic number, because the mean of its divisors is an integer number (3374965440).

Almost surely, 2^72748782689 is an apocalyptic number.

It is an amenable number.

72748782689 is a deficient number, since it is larger than the sum of its proper divisors (8250387871).

72748782689 is a wasteful number, since it uses less digits than its factorization.

72748782689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24373 (or 24362 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 68.

The spelling of 72748782689 in words is "seventy-two billion, seven hundred forty-eight million, seven hundred eighty-two thousand, six hundred eighty-nine".