Here are some PPQN resolutions supported by various sequencers:

PPQN  Factors
====  =======
  24  2^3 * 3
  48  2^4 * 3
  72  2^3 * 3^2
  96  2^5 * 3 
 120  2^3 * 3   *  5
 144  2^4 * 3^2
 168  2^3 * 3   *  7
 192  2^6 * 3
 216  2^3 * 3^3
 240  2^4 * 3   *  5
 264  2^3 * 3   * 11
 288  2^5 * 3^2
 312  2^3 * 3   * 13
 336  2^4 * 3   *  7
 360  2^3 * 3^2 *  5
 384  2^7 * 3
 408  2^3 * 3   * 17
 432  2^4 * 3^3
 456  2^3 * 3   * 19
 480  2^5 * 3   *  5
 504  2^3 * 3^2 *  7
 528  2^4 * 3   * 11
 552  2^3 * 3   * 23
 576  2^6 * 3^2
 600  2^3 * 3   *  5^2
 624  2^4 * 3   * 13
 648  2^3 * 3^4
 672  2^5 * 3   *  7
 696  2^3 * 3   * 29
 720  2^4 * 3^2 *  5
 744  2^3 * 3   * 31
 768  2^8 * 3
 960  2^6 * 3   *  5
1024  2^10

What PPQN does MOST music need? The "limiting" factors are
perceivable human performance timings, MIDI bandwidth, tempo,
note duration, and tuplet usage.  Arguably the following
are all that are "needed":

PPQN 96, 192, 384, 768 for recording performance timing nuances
are ideal choices depending on tempos of 330, 320, 160, 90 (and
less) respectively. In other words, tempo and PPQN are inversely
proportional.

"Playable" tempos are from 40-320 BPM (the latter typically for
bebop only <g>).

Durations as small as a 64th note, or VERY rarely to 128th notes.
16th and 32nd are the most common.

Common tuplets based on 3, 5, 7, or 11 -- the last two being VERY rare

MIDI bandwith (PPQN clock tick duration) is exceeded "between"
tempo/PPQN 330/192 and 70/1024.

Swing is MOST characteristic of TRIPLET subdivisions of the beat.

Tuplets above 3 are heard/felt as combinations of 2s and 3s IMHO
making 5 and above beat subvisions uneccessary.