To simplify the expression \(-72\sqrt{3}\), we first express \( -72 \) as \( -1 \times 72 \).
Next, we notice that \( 72 \) can be factored into \( 36 \times 2 \), where \( 36 \) is a perfect square.
So we have:
\[ -72\sqrt{3} = -1 \times 72\sqrt{3} = -1 \times (36 \times 2)\sqrt{3} \]
Now let's simplify it:
\[ -1 \times (36\sqrt{3} \times 2) = -2 \times 36\sqrt{3} = -2 \times 6\sqrt{12} = -12\sqrt{12} \]
We can also simplify \(\sqrt{12}\):
\[ \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3} \]
So,
\[ -12\sqrt{12} = -12 \times 2\sqrt{3} = -24\sqrt{3} \]
Thus, the final simplified form of \(-72\sqrt{3}\) is:
\[ -24\sqrt{3} \]
The expression after full simplification remains as:
\[ -24\sqrt{3} \]
So the answer you are looking for is \( -24\sqrt{3} \).