72117 has 8 divisors (see below), whose sum is σ = 106880. Its totient is φ = 48060.

The previous prime is 72109. The next prime is 72139. The reversal of 72117 is 71127.

It is not a de Polignac number, because 72117 - 2³ = 72109 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 72117.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72117.

It is not an unprimeable number, because it can be changed into a prime (72167) 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, 1309 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (13360).

2⁷²¹¹⁷ is an apocalyptic number.

It is an amenable number.

72117 is a deficient number, since it is larger than the sum of its proper divisors (34763).

72117 is a wasteful number, since it uses less digits than its factorization.

72117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 72117 is about 268.5460854304. The cubic root of 72117 is about 41.6241985074.

Subtracting from 72117 its reverse (71127), we obtain a triangular number (990 = T₄₄).

The spelling of 72117 in words is "seventy-two thousand, one hundred seventeen", and thus it is an iban number.