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Harshad n.  and  Zuckerman n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 24, 36, 111, 112, 132, 135, 144, 216, 224, 312, 315, 432, 612, 624, 735, 1116, 1212, 1296, 1332, 1344, 1416, 2112, 2232, 2916, 3132, 3168, 3276, 3312, 4112, 4224, 6624, 6912, 8112, 9612, 11112, 11115, 11133, 11172, 11232, 11313, 11331, 11424, 11664, 12132, 12216, 12312, 12432, 12768, 13113, 13131, 13212, 13248, 13311, 13824, 13932, 14112, 16128, 16416, 16632, 17115, 17136, 18432, 18816, 19116, 21112, 21132, 21184, 21216, 21312, 21672, 22112, 22176, 23112, 23328, 24192, 24912, 26112, 26136, 26712, 27216, 31113, 31131, 31212, 31311, 31488, 32112, 32616, 32832, 33111, 33264, 34272, 34992, 35175, 41112, 41232, 41616, 42192, 42336, 42624, 42912, 43632, 51975, 61344, 61824, 62112, 66312, 71316, 73332, 81216, 82944, 83232, 86112, 92232, 93312, 93744, 111132, 111168, 111216, 111272, 111312, 111432, 111612, 112112, 112116, 112224, 113112, 113184, 113292, 113328, 113616, 114192, 114312, 114624, 114912, 116112, 116172, 116316, 117264, 117432, 117936, 118272, 119232, 121112, 121116, 121392, 121716, 121932, 122112, 123264, 123732, 124416, 126144, 126432, 131112, 131328, 132192, 134112, 134136, 136224, 139212, 139968, 141192, 141312, 141912, 143112, 144384, 149112, 161112, 161136, 162432, 163296, 171612, 172116, 177184, 181248, 183168, 183312, 186624, 189216, 192132, 193212, 194112, 196128, 197316, 211112, 211116, 211176, 212112, 213192, 214144, 217112, 219132, 221112, 221184, 221232, 221616, 222192, 222912, 229392, 231264, 231336, 232128, 232416, 234432, 237132, 239112, 241632, 242112, 244224, 248832, 261216, 266112, 272832, 282112, 282624, 291168, 293112, 294192, 311112, 311328, 311472, 312336, 312732, 313416, 313632, 314112, 316116, 316224, 317184, 321192, 331344, 336312, 338112, 341112, 341712, 342144, 344736, 373212, 381312, 383616, 411192, 411264, 411312, 411648, 411712, 411912, 412416, 413112, 417312, 419112, 421632, 422112, 422144, 431112, 431136, 438912, 441216, 442176, 442368, 476112, 491112, 611112, 613116, 613332, 621216, 622272, 626112, 628224, 642816, 647136.

Some larger examples :