25 × 32 × 569
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 569, 1138, 1707, 2276, 3414, 4552, 5121, 6828, 9104, 10242, 13656, 18208, 20484, 27312, 40968, 54624, 81936 and 163872
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.