7248 has 20 divisors (see below), whose sum is σ = 18848. Its totient is φ = 2400.

The previous prime is 7247. The next prime is 7253. The reversal of 7248 is 8427.

It is a happy number.

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7243) 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, 28 + ... + 123.

2⁷²⁴⁸ is an apocalyptic number.

It is an amenable number.

7248 is an abundant number, since it is smaller than the sum of its proper divisors (11600).

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 (9424).

7248 is a wasteful number, since it uses less digits than its factorization.

7248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 7248 is about 85.1351866152. The cubic root of 7248 is about 19.3526033261.

Subtracting from 7248 its sum of digits (21), we obtain a palindrome (7227).

It can be divided in two parts, 72 and 48, that added together give a triangular number (120 = T₁₅).

The spelling of 7248 in words is "seven thousand, two hundred forty-eight".