1. **State the problem:** Multiply 7532 by 71651. 2. **Formula used:** Multiplication of two integers is done by multiplying each digit and summing appropriately. 3. **Intermediate work:** Multiply 7532 by 71651 step-by-step: $$7532 \times 71651$$ 4. **Calculation:** $$7532 \times 71651 = 539,825,132$$ 5. **Explanation:** Multiplying these two numbers gives the product 539,825,132. This is done by standard multiplication rules. **Final answer:** $$7532 \times 71651 = 539825132$$