72118 has 8 divisors (see below), whose sum is σ = 109512. Its totient is φ = 35616.

The previous prime is 72109. The next prime is 72139. The reversal of 72118 is 81127.

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

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 72095 and 72104.

It is a congruent number.

It is an unprimeable number.

72118 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (13689).

2⁷²¹¹⁸ is an apocalyptic number.

72118 is a deficient number, since it is larger than the sum of its proper divisors (37394).

72118 is a wasteful number, since it uses less digits than its factorization.

72118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its digits is 112, while the sum is 19.

The square root of 72118 is about 268.5479473018. The cubic root of 72118 is about 41.6243908985.

Subtracting 72118 from its reverse (81127), we obtain a palindrome (9009).

It can be divided in two parts, 72 and 118, that added together give a triangular number (190 = T₁₉).

The spelling of 72118 in words is "seventy-two thousand, one hundred eighteen".