In the diagram, the central circle contains the number 36. Positive integers are to be written in the eight empty circles, one number in each circle, so that the product of the three integers along any straight line is 2592 . If the nine integers in the circles must be all different, what is the largest possible sum of these nine integers?
(A) 160
(B) 176
(C) 178
(D) 195
(E) 216

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-022.jpg?height=431&width=422&top_left_y=1779&top_left_x=1296)