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72275207710344 = 233291011397396801
BaseRepresentation
bin10000011011101111100010…
…000101001110011010001000
3100110220102221111022211201120
4100123233202011032122020
533433124111133212334
6413414434432515240
721136466011051542
oct2033574205163210
9313812844284646
1072275207710344
112103581a5a6021
1281335049abb20
1331436a48ba0a2
1413bc1d28dc692
1585509d83d949
hex41bbe214e688

72275207710344 has 128 divisors (see below), whose sum is σ = 190127398608000. Its totient is φ = 22864988160000.

The previous prime is 72275207710339. The next prime is 72275207710357. The reversal of 72275207710344 is 44301770257227.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6072744 + ... + 13469544.

It is an arithmetic number, because the mean of its divisors is an integer number (1485370301625).

Almost surely, 272275207710344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72275207710344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95063699304000).

72275207710344 is an abundant number, since it is smaller than the sum of its proper divisors (117852190897656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72275207710344 is a wasteful number, since it uses less digits than its factorization.

72275207710344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397079 (or 7397075 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 51.

The spelling of 72275207710344 in words is "seventy-two trillion, two hundred seventy-five billion, two hundred seven million, seven hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 139 174 202 232 278 303 348 404 417 556 606 696 808 834 1112 1212 1668 2424 2929 3336 4031 5858 8062 8787 11716 12093 14039 16124 17574 23432 24186 28078 32248 35148 42117 48372 56156 70296 84234 96744 112312 168468 336936 407131 814262 1221393 1628524 2442786 3257048 4885572 7396801 9771144 14793602 22190403 29587204 44380806 59174408 88761612 177523224 214507229 429014458 643521687 747076901 858028916 1028155339 1287043374 1494153802 1716057832 2056310678 2241230703 2574086748 2988307604 3084466017 4112621356 4482461406 5148173496 5976615208 6168932034 8225242712 8964922812 12337864068 17929845624 21665230129 24675728136 29816504831 43330460258 59633009662 64995690387 86660920516 89449514493 103843689239 119266019324 129991380774 173321841032 178899028986 207687378478 238532038648 259982761548 311531067717 357798057972 415374756956 519965523096 623062135434 715596115944 830749513912 1246124270868 2492248541736 3011466987931 6022933975862 9034400963793 12045867951724 18068801927586 24091735903448 36137603855172 72275207710344