3 × 72 × 11 × 73
1, 3, 7, 11, 21, 33, 49, 73, 77, 147, 219, 231, 511, 539, 803, 1533, 1617, 2409, 3577, 5621, 10731, 16863, 39347 and 118041
No.
Its nearest Fibonacci number neighbors are 75025 and 121393.