The formula for aluminum sulfide is Al2S3. This means that for every 2 moles of aluminum, there are 3 moles of sulfur. In 7.20 mol of aluminum sulfide, there are:

$$7.20\text{ mol Al}_2\text{S}_3\times\frac{6\text{ mol H}}{1\text{ mol Al}_2\text{S}_3}=\boxed{43.2\text{ mol H}}$$

Therefore, there are 43.2 mol of hydrogen atoms in 7.20 mol of aluminum sulfide.