7188 has 12 divisors (see below), whose sum is σ = 16800. Its totient is φ = 2392.

The previous prime is 7187. The next prime is 7193. The reversal of 7188 is 8817.

7188 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

It is an amenable number.

7188 is an abundant number, since it is smaller than the sum of its proper divisors (9612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400).

7188 is a wasteful number, since it uses less digits than its factorization.

7188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 7188 is about 84.7820735769. The cubic root of 7188 is about 19.2990540669.

The spelling of 7188 in words is "seven thousand, one hundred eighty-eight".