72853564617 has 16 divisors (see below), whose sum is σ = 114280102080. Its totient is φ = 45712040256.

The previous prime is 72853564571. The next prime is 72853564649. The reversal of 72853564617 is 71646535827.

72853564617 is a `hidden beast` number, since 7 + 28 + 53 + 564 + 6 + 1 + 7 = 666.

It is not a de Polignac number, because 72853564617 - 2¹⁰ = 72853563593 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72853564697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79360723 + ... + 79361640.

It is an arithmetic number, because the mean of its divisors is an integer number (7142506380).

Almost surely, 2^72853564617 is an apocalyptic number.

It is an amenable number.

72853564617 is a deficient number, since it is larger than the sum of its proper divisors (41426537463).

72853564617 is a wasteful number, since it uses less digits than its factorization.

72853564617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158722389 (or 158722383 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 72853564617 in words is "seventy-two billion, eight hundred fifty-three million, five hundred sixty-four thousand, six hundred seventeen".