72724874193 has 20 divisors (see below), whose sum is σ = 108679388928. Its totient is φ = 48464953560.

The previous prime is 72724874191. The next prime is 72724874197. The reversal of 72724874193 is 39147842727.

72724874193 is a `hidden beast` number, since 7 + 2 + 72 + 487 + 4 + 1 + 93 = 666.

It is not a de Polignac number, because 72724874193 - 2¹ = 72724874191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72724874191) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48280 + ... + 384422.

Almost surely, 2^72724874193 is an apocalyptic number.

It is an amenable number.

72724874193 is a deficient number, since it is larger than the sum of its proper divisors (35954514735).

72724874193 is a wasteful number, since it uses less digits than its factorization.

72724874193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338826 (or 338817 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 72724874193 in words is "seventy-two billion, seven hundred twenty-four million, eight hundred seventy-four thousand, one hundred ninety-three".