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hexagonal n.  and  practical n.

First numbers that belong to both sets:

1, 6, 28, 66, 120, 276, 378, 496, 630, 780, 1128, 1326, 1540, 1770, 2016, 2556, 2850, 3160, 3486, 3828, 4560, 4950, 5778, 6216, 7140, 8128, 8646, 9180, 10296, 10878, 12090, 12720, 14028, 14706, 15400, 16110, 16836, 18336, 19110, 19900, 20706, 21528, 23220, 24090, 24976, 26796, 28680, 29646, 31626, 32640, 34716, 37950, 39060, 41328, 43660, 44850, 46056, 48516, 49770, 51040, 52326, 56280, 57630, 58996, 61776, 64620, 66066, 69006, 70500, 73536, 76636, 78210, 79800, 83028, 86320, 87990, 89676, 93096, 94830, 96580, 100128, 103740, 105570, 109278, 114960, 116886, 122760, 126756, 128778, 130816, 132870, 134940, 139128, 141246, 145530, 147696, 152076, 154290, 156520, 161028, 165600, 167910, 172578, 174936, 179700, 184528, 186966, 189420, 194376, 196878, 201930, 204480, 209628, 212226, 214840, 217470, 220116, 225456, 228150, 230860, 233586, 236328, 241860, 244650, 247456, 250278, 253116, 258840, 264628, 270480, 279378, 285390, 288420, 294528, 300700, 303810, 306936, 313236, 316410, 319600, 322806, 332520, 335790, 342378, 345696, 352380, 359128, 365940, 372816, 376278, 383250, 386760, 397386, 400960, 404550, 408156, 415416, 419070, 422740, 426426, 430128, 437580, 441330, 452676, 460320, 471906, 475800, 487578, 491536, 499500, 507528, 511566, 515620, 519690, 523776, 536130, 540280, 544446, 557040, 561270, 565516, 569778, 574056, 582660, 591328, 595686, 600060, 608856, 613278, 622170, 626640, 635628, 640146, 644680, 649230, 653796, 662976, 667590, 672220, 690900, 695610, 700336, 705078, 719400, 724206, 738720, 748476, 758296, 763230, 768180, 778128, 793170, 813450, 818560, 828828, 839160, 844350, 860016, 870540, 875826, 886446, 891780, 902496, 913276, 924120, 935028, 940506, 946000, 951510, 968136, 973710, 979300, 984906, 990528, 1001820, 1007490, 1018878, 1024596, 1036080, 1041846, 1053426, 1059240, 1070916, 1082656, 1088550, 1094460, 1106328, 1112286, 1118260, 1124250, 1130256, 1142316, 1154440, 1178880, 1185030, 1197378, 1203576, 1216020, 1228528, 1241100, 1253736, 1272810, 1279200, 1298466, 1304920, 1311390, 1317876, 1330896, 1343980, 1357128, 1370340, 1376970, 1383616, 1396956, 1410360, 1417086, 1430586, 1437360, 1450956, 1457778.

Some larger examples :