72115417 has 8 divisors (see below), whose sum is σ = 78766272. Its totient is φ = 65480400.

The previous prime is 72115409. The next prime is 72115423. The reversal of 72115417 is 71451127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72115417 - 2³ = 72115409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72155417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6868 + ... + 13834.

It is an arithmetic number, because the mean of its divisors is an integer number (9845784).

Almost surely, 2^72115417 is an apocalyptic number.

It is an amenable number.

72115417 is a deficient number, since it is larger than the sum of its proper divisors (6650855).

72115417 is a wasteful number, since it uses less digits than its factorization.

72115417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919.

The product of its digits is 1960, while the sum is 28.

The square root of 72115417 is about 8492.0796628388. The cubic root of 72115417 is about 416.2389394867.

The spelling of 72115417 in words is "seventy-two million, one hundred fifteen thousand, four hundred seventeen".