7152

7152 is a positive integer that follows 7151 and precedes 7153. In prime factorization terms, it equals 2^4 × 3 × 149. It is even and composite. The divisors come from taking a ∈ {0,…,4}, b ∈ {0,1}, c ∈ {0,1}, yielding 20 divisors in total. The sum of all positive divisors is 18600, so the sum of proper divisors is 11448; thus 7152 is an abundant number. It is also a multiple of 16, 3, and 149 (indeed 7152 = 16 × 3 × 149 = 48 × 149).

In base representations, 7152 is 1101111110000 in binary, 0x1BF0 in hexadecimal, and 15760 in octal. The decimal digits sum to 15.

The number lies between the squares 84^2 = 7056 and 85^2 = 7225. It is not a prime and does not appear as a standard constant in common mathematical tables, though it can arise in problems involving factorization and sequences of multiples.