72 × 13 × 29 × 281
1, 7, 13, 29, 49, 91, 203, 281, 377, 637, 1421, 1967, 2639, 3653, 8149, 13769, 18473, 25571, 57043, 105937, 178997, 399301, 741559 and 5190913
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.