2 × 3 × 7 × 29 × 59
1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 59, 87, 118, 174, 177, 203, 354, 406, 413, 609, 826, 1218, 1239, 1711, 2478, 3422, 5133, 10266, 11977, 23954, 35931 and 71862
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.