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frugal n.  and  lucky n.

First numbers that belong to both sets:

729, 1029, 1369, 1701, 2187, 2209, 3481, 3721, 5041, 5103, 7921, 9409, 10125, 10443, 10609, 11163, 13125, 13851, 14749, 15379, 17253, 18723, 19197, 20169, 20923, 21609, 22981, 23571, 24649, 27097, 27783, 29791, 32041, 32761, 35287, 35721, 36481, 36501, 43923, 45619, 45625, 45927, 46875, 49375, 50421, 50625, 50653, 51759, 52441, 57591, 64881, 66049, 67797, 72171, 73441, 83521, 88837, 90625, 100845, 101125, 101251, 102487, 102789, 103243, 103761, 105705, 105861, 108151, 109375, 110889, 111051, 112509, 112627, 113569, 113875, 113967, 114375, 114453, 115591, 118803, 121375, 121801, 122451, 124659, 126025, 127939, 128881, 129033, 130321, 131463, 131875, 132651, 132921, 133125, 133407, 134017, 134865, 135247, 135625, 136809, 136857, 140287, 141135, 142477, 142641, 144403, 145071, 146043, 148003, 149187, 150625, 151389, 153333, 155407, 155625, 156751, 157323, 158809, 160137, 160381, 162867, 163539, 166341, 166375, 166941, 167281, 171157, 171349, 171475, 172225, 174231, 174511, 175561, 175689, 178929, 180549, 182329, 185193, 185761, 186517, 189679, 190333, 195853, 196101, 201447, 203125, 206143, 206875, 208201, 208537, 212625, 213111, 213559, 214273, 215055, 219501, 221911, 223293, 225261, 226981, 228177, 230917, 233227, 233523, 234375, 234981, 237013, 238869, 249307, 251419, 251505, 254113, 259375, 260253, 261121, 263125, 266085, 266511, 266875, 267543, 269001, 270459, 271917, 273829, 274375, 278125, 278179, 279207, 282123, 285625, 286497, 289375, 289413, 292579, 292681, 293907, 299619, 300763, 302535, 304927, 307461, 311101, 311283, 311647, 319333, 320031, 323433, 323761, 325069, 326041, 326875, 327321, 329623, 330237, 332929, 338125, 352107, 354375, 354631, 361227, 362313, 363771, 371061, 373977, 379809, 380023, 381267, 386875, 395307, 397953, 398161, 403137, 404595, 410427, 413343, 413449, 418609, 420633, 420991, 424375, 431649, 439383, 440067, 443961, 459375, 459553, 461563, 470205, 477799, 480411, 482403, 484375, 491401, 492075, 498847, 501843, 502897, 505197, 511413, 513945, 516861, 516961, 521875, 528529, 544231, 555579, 556549, 557283, 557685, 566433, 566875, 571875, 574375, 578641, 579121, 583443, 583929, 584647, 588747, 605799.

Some larger examples :