72111 has 12 divisors (see below), whose sum is σ = 106008. Its totient is φ = 43344.

The previous prime is 72109. The next prime is 72139. The reversal of 72111 is 11127.

It is not a de Polignac number, because 72111 - 2¹ = 72109 is a prime.

72111 is a modest number, since divided by 111 gives 72 as remainder.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

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 72111.

It is not an unprimeable number, because it can be changed into a prime (72101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 1698.

It is an arithmetic number, because the mean of its divisors is an integer number (8834).

2⁷²¹¹¹ is an apocalyptic number.

72111 is a deficient number, since it is larger than the sum of its proper divisors (33897).

72111 is a wasteful number, since it uses less digits than its factorization.

72111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its digits is 14, while the sum is 12.

The square root of 72111 is about 268.5349139311. The cubic root of 72111 is about 41.6230441235.

Adding to 72111 its reverse (11127), we get a palindrome (83238).

The spelling of 72111 in words is "seventy-two thousand, one hundred eleven", and thus it is an iban number.