72162652617 has 24 divisors (see below), whose sum is σ = 113723133888. Its totient is φ = 43730215200.

The previous prime is 72162652603. The next prime is 72162652649. The reversal of 72162652617 is 71625626127.

72162652617 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 26 + 5 + 2 + 617 = 666.

It is not a de Polignac number, because 72162652617 - 2¹² = 72162648521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72162652217) 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, 1026363 + ... + 1094415.

It is an arithmetic number, because the mean of its divisors is an integer number (4738463912).

Almost surely, 2^72162652617 is an apocalyptic number.

It is an amenable number.

72162652617 is a deficient number, since it is larger than the sum of its proper divisors (41560481271).

72162652617 is a wasteful number, since it uses less digits than its factorization.

72162652617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78781 (or 78778 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 72162652617 in words is "seventy-two billion, one hundred sixty-two million, six hundred fifty-two thousand, six hundred seventeen".