22 × 32 × 72
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882 and 1764
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.