1. The problem is to multiply 72 by 7,878. 2. Write the multiplication: $$72 \times 7,878$$ 3. Multiply step-by-step: $$72 \times 7,878 = 72 \times (7,000 + 800 + 70 + 8)$$ 4. Distribute multiplication: $$= 72 \times 7,000 + 72 \times 800 + 72 \times 70 + 72 \times 8$$ 5. Calculate each term: $$72 \times 7,000 = 504,000$$ $$72 \times 800 = 57,600$$ $$72 \times 70 = 5,040$$ $$72 \times 8 = 576$$ 6. Add all results: $$504,000 + 57,600 + 5,040 + 576 = 567,216$$ 7. Therefore, the final answer is: $$72 \times 7,878 = 567,216$$