Final answer:
The largest odd number divisible by 5 using the digits 0, 2, 5, and 7 is 7520, with the digit 5 at the end to ensure divisibility by 5 and oddness.
Step-by-step explanation:
To find the largest odd number divisible by 5 using all the digits 0, 2, 5, and 7, we must first recognize that any number divisible by 5 must end in either 0 or 5. However, since we need an odd number, the last digit must be 5. Therefore, we are left with the digits 0, 2, and 7 to use at the beginning of the number. The largest number we can create from these digits is 720. Hence, the largest odd number divisible by 5 using all digits is 7520.