7488 has 42 divisors (see below), whose sum is σ = 23114. Its totient is φ = 2304.

The previous prime is 7487. The next prime is 7489. The reversal of 7488 is 8847.

It is a happy number.

7488 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (7487) and next prime (7489).

It can be written as a sum of positive squares in only one way, i.e., 5184 + 2304 = 72^2 + 48^2 .

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7481) 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 5 ways as a sum of consecutive naturals, for example, 570 + ... + 582.

2⁷⁴⁸⁸ is an apocalyptic number.

7488 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557).

7488 is an abundant number, since it is smaller than the sum of its proper divisors (15626).

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

7488 is a wasteful number, since it uses less digits than its factorization.

7488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 18 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 7488 is about 86.5332306111. The cubic root of 7488 is about 19.5638929860.

The spelling of 7488 in words is "seven thousand, four hundred eighty-eight".