72116 has 18 divisors (see below), whose sum is σ = 139650. Its totient is φ = 32560.

The previous prime is 72109. The next prime is 72139. The reversal of 72116 is 61127.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 23716 = 220^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72094 and 72103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 410 + ... + 558.

2⁷²¹¹⁶ is an apocalyptic number.

It is an amenable number.

72116 is a deficient number, since it is larger than the sum of its proper divisors (67534).

72116 is a wasteful number, since it uses less digits than its factorization.

72116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 72116 is about 268.5442235461. The cubic root of 72116 is about 41.6240061145.

It can be divided in two parts, 721 and 16, that added together give a palindrome (737).

The spelling of 72116 in words is "seventy-two thousand, one hundred sixteen".