72 × 13 × 29 × 14503
1, 7, 13, 29, 49, 91, 203, 377, 637, 1421, 2639, 14503, 18473, 101521, 188539, 420587, 710647, 1319773, 2944109, 5467631, 9238411, 20608763, 38273417 and 267913919
No.
Its nearest Fibonacci number neighbors are 165580141 and 267914296.