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72222449520 = 243513109212369
BaseRepresentation
bin100001101000011001…
…0110001111101110000
320220102022021120110210
41003100302301331300
52140402421341040
653102321424120
75134511456214
oct1032062617560
9226368246423
1072222449520
11286a1765311
1211bb719b040
136a6ca09340
1436d1c58944
151d2a7b4480
hex10d0cb1f70

72222449520 has 160 divisors (see below), whose sum is σ = 243325051200. Its totient is φ = 17614651392.

The previous prime is 72222449503. The next prime is 72222449521. The reversal of 72222449520 is 2594422227.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72222449521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 233896 + ... + 446264.

It is an arithmetic number, because the mean of its divisors is an integer number (1520781570).

Almost surely, 272222449520 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 72222449520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121662525600).

72222449520 is an abundant number, since it is smaller than the sum of its proper divisors (171102601680).

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

72222449520 is a wasteful number, since it uses less digits than its factorization.

72222449520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212507 (or 212501 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 72222449520 in words is "seventy-two billion, two hundred twenty-two million, four hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 109 120 130 156 195 208 218 240 260 312 327 390 436 520 545 624 654 780 872 1040 1090 1308 1417 1560 1635 1744 2180 2616 2834 3120 3270 4251 4360 5232 5668 6540 7085 8502 8720 11336 13080 14170 17004 21255 22672 26160 28340 34008 42510 56680 68016 85020 113360 170040 212369 340080 424738 637107 849476 1061845 1274214 1698952 2123690 2548428 2760797 3185535 3397904 4247380 5096856 5521594 6371070 8282391 8494760 10193712 11043188 12742140 13803985 16564782 16989520 22086376 23148221 25484280 27607970 33129564 41411955 44172752 46296442 50968560 55215940 66259128 69444663 82823910 92592884 110431880 115741105 132518256 138889326 165647820 185185768 220863760 231482210 277778652 300926873 331295640 347223315 370371536 462964420 555557304 601853746 662591280 694446630 902780619 925928840 1111114608 1203707492 1388893260 1504634365 1805561238 1851857680 2407414984 2777786520 3009268730 3611122476 4513903095 4814829968 5555573040 6018537460 7222244952 9027806190 12037074920 14444489904 18055612380 24074149840 36111224760 72222449520