25 × 3 × 73
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504 and 7008
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.