Given that the Highest Common Factor (HCF) of two numbers is 72, and their Lowest Common Multiple (LCM) is 4536, we need to find the two numbers.

Let the two numbers be $a$ and $b$.

We know that the product of the two numbers is equal to the product of their HCF and LCM:

$a \times b = \text{HCF} \times \text{LCM}$

Substituting the given values:

$a \times b = 72 \times 4536$

Let's calculate this:

$a \times b = 326592$

So, the product of the two numbers is 326592.

Now, we know that $a = 72 \times x$ and $b = 72 \times y$, where $x$ and $y$ are co-prime (since $x$ and $y$ will have no common factors other than 1).

Then,

[ 72 \times