73112117 has 8 divisors (see below), whose sum is σ = 78824760. Its totient is φ = 67412160.

The previous prime is 73112113. The next prime is 73112129. The reversal of 73112117 is 71121137.

It can be written as a sum of positive squares in 4 ways, for example, as 6754801 + 66357316 = 2599^2 + 8146^2 .

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 73112117 - 2² = 73112113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73112092 and 73112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73112113) 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, 11267 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (9853095).

Almost surely, 2^73112117 is an apocalyptic number.

It is an amenable number.

73112117 is a deficient number, since it is larger than the sum of its proper divisors (5712643).

73112117 is a wasteful number, since it uses less digits than its factorization.

73112117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343.

The product of its digits is 294, while the sum is 23.

The square root of 73112117 is about 8550.5623791655. The cubic root of 73112117 is about 418.1477713689.

The spelling of 73112117 in words is "seventy-three million, one hundred twelve thousand, one hundred seventeen".