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72012680685 = 325111372813779
BaseRepresentation
bin100001100010001001…
…0100100110111101101
320212212200120012201200
41003010102210313231
52134440221240220
653025425400113
75126353454241
oct1030422446755
9225780505650
1072012680685
11285a430a940
1211b58a99039
136a3841177a
1436b2052421
151d1717a890
hex10c44a4ded

72012680685 has 96 divisors (see below), whose sum is σ = 137687921280. Its totient is φ = 34527897600.

The previous prime is 72012680659. The next prime is 72012680693. The reversal of 72012680685 is 58608621027.

It is not a de Polignac number, because 72012680685 - 27 = 72012680557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72012680685.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19054126 + ... + 19057904.

It is an arithmetic number, because the mean of its divisors is an integer number (1434249180).

Almost surely, 272012680685 is an apocalyptic number.

It is an amenable number.

72012680685 is a deficient number, since it is larger than the sum of its proper divisors (65675240595).

72012680685 is a wasteful number, since it uses less digits than its factorization.

72012680685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 72012680685 in words is "seventy-two billion, twelve million, six hundred eighty thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 137 165 281 411 495 685 843 1233 1405 1507 2055 2529 3091 3779 4215 4521 6165 7535 9273 11337 12645 13563 15455 18895 22605 27819 34011 38497 41569 46365 56685 67815 115491 124707 139095 170055 192485 207845 346473 374121 423467 517723 577455 623535 1061899 1270401 1553169 1732365 1870605 2117335 2588615 3185697 3811203 4659507 5309495 5694953 6352005 7765845 9557091 11680889 15928485 17084859 19056015 23297535 28474765 35042667 47785455 51254577 58404445 85424295 105128001 145480163 175213335 256272885 436440489 525640005 727400815 1309321467 1600281793 2182202445 4800845379 6546607335 8001408965 14402536137 24004226895 72012680685