73117271137 has 8 divisors (see below), whose sum is σ = 73182275712. Its totient is φ = 73052298000.

The previous prime is 73117271107. The next prime is 73117271141.

73117271137 is nontrivially palindromic in base 10.

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 73117271137 - 2²³ = 73108882529 is a prime.

It is a super-2 number, since 2×73117271137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73117271137.

It is not an unprimeable number, because it can be changed into a prime (73117271107) 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, 7379887 + ... + 7389787.

It is an arithmetic number, because the mean of its divisors is an integer number (9147784464).

Almost surely, 2^73117271137 is an apocalyptic number.

It is an amenable number.

73117271137 is a deficient number, since it is larger than the sum of its proper divisors (65004575).

73117271137 is a wasteful number, since it uses less digits than its factorization.

73117271137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15719.

The product of its digits is 43218, while the sum is 40.

The spelling of 73117271137 in words is "seventy-three billion, one hundred seventeen million, two hundred seventy-one thousand, one hundred thirty-seven".