7288 has 8 divisors (see below), whose sum is σ = 13680. Its totient is φ = 3640.

The previous prime is 7283. The next prime is 7297. The reversal of 7288 is 8827.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×7288² = 106229888, which contains 22 as substring.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 72 and 88 contains 7288 itself.

7288 is a modest number, since divided by 88 gives 72 as remainder.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 448 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁷²⁸⁸ is an apocalyptic number.

It is an amenable number.

7288 is a deficient number, since it is larger than the sum of its proper divisors (6392).

7288 is a wasteful number, since it uses less digits than its factorization.

7288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 7288 is about 85.3697838817. The cubic root of 7288 is about 19.3881388508.

It can be divided in two parts, 72 and 88, that multiplied together give a palindrome (6336).

The spelling of 7288 in words is "seven thousand, two hundred eighty-eight".