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72394566660 = 223251353583733
BaseRepresentation
bin100001101101100001…
…1010110110000000100
320220212022011000210200
41003123003112300010
52141231002113120
653131350450500
75142001443363
oct1033303266004
9226768130720
1072394566660
112877a933489
1212044963a30
136a995801c0
14370aa5d7da
151d3a961e90
hex10db0d6c04

72394566660 has 144 divisors (see below), whose sum is σ = 240951385584. Its totient is φ = 17483940864.

The previous prime is 72394566659. The next prime is 72394566709. The reversal of 72394566660 is 6666549327.

It can be written as a sum of positive squares in 8 ways, for example, as 2359296 + 72392207364 = 1536^2 + 269058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72394566597 and 72394566606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167847 + ... + 415886.

It is an arithmetic number, because the mean of its divisors is an integer number (1673273511).

Almost surely, 272394566660 is an apocalyptic number.

It is an amenable number.

72394566660 is an abundant number, since it is smaller than the sum of its proper divisors (168556818924).

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

72394566660 is a wasteful number, since it uses less digits than its factorization.

72394566660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583814 (or 583809 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 72394566660 in words is "seventy-two billion, three hundred ninety-four million, five hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1908 2067 2340 2385 2756 3180 3445 4134 4770 6201 6890 8268 9540 10335 12402 13780 20670 24804 31005 41340 62010 124020 583733 1167466 1751199 2334932 2918665 3502398 5253597 5837330 7004796 7588529 8755995 10507194 11674660 15177058 17511990 21014388 22765587 26267985 30354116 30937849 35023980 37942645 45531174 52535970 61875698 68296761 75885290 91062348 92813547 105071940 113827935 123751396 136593522 151770580 154689245 185627094 227655870 273187044 278440641 309378490 341483805 371254188 402192037 455311740 464067735 556881282 618756980 682967610 804384074 928135470 1113762564 1206576111 1365935220 1392203205 1608768148 1856270940 2010960185 2413152222 2784406410 3619728333 4021920370 4826304444 5568812820 6032880555 7239456666 8043840740 12065761110 14478913332 18098641665 24131522220 36197283330 72394566660