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72572384438240 = 2551924726732917
BaseRepresentation
bin10000100000000100010011…
…001100011110011111100000
3100111221212000020202210020012
4100200010103030132133200
534003011220404010430
6414203143153304052
721200116224421211
oct2040042314363740
9314855006683205
1072572384438240
112113a85906a195
128181020865028
133165714830b8b
1413cc744abd408
1585cb93217695
hex42011331e7e0

72572384438240 has 144 divisors (see below), whose sum is σ = 184801026457152. Its totient is φ = 26915983008768.

The previous prime is 72572384438179. The next prime is 72572384438249. The reversal of 72572384438240 is 4283448327527.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72572384438240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72572384438249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10651739 + ... + 16081178.

It is an arithmetic number, because the mean of its divisors is an integer number (1283340461508).

Almost surely, 272572384438240 is an apocalyptic number.

It is an amenable number.

72572384438240 is an abundant number, since it is smaller than the sum of its proper divisors (112228642018912).

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

72572384438240 is a wasteful number, since it uses less digits than its factorization.

72572384438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26733017 (or 26732990 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 59.

The spelling of 72572384438240 in words is "seventy-two trillion, five hundred seventy-two billion, three hundred eighty-four million, four hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 76 80 94 95 152 160 188 190 235 304 361 376 380 470 608 722 752 760 893 940 1444 1504 1520 1786 1805 1880 2888 3040 3572 3610 3760 4465 5776 7144 7220 7520 8930 11552 14288 14440 16967 17860 28576 28880 33934 35720 57760 67868 71440 84835 135736 142880 169670 271472 339340 542944 678680 1357360 2714720 26732917 53465834 106931668 133664585 213863336 267329170 427726672 507925423 534658340 855453344 1015850846 1069316680 1256447099 2031701692 2138633360 2512894198 2539627115 4063403384 4277266720 5025788396 5079254230 6282235495 8126806768 9650583037 10051576792 10158508460 12564470990 16253613536 19301166074 20103153584 20317016920 23872494881 25128941980 38602332148 40206307168 40634033840 47744989762 48252915185 50257883960 77204664296 81268067680 95489979524 96505830370 100515767920 119362474405 154409328592 190979959048 193011660740 201031535840 238724948810 308818657184 381959918096 386023321480 453577402739 477449897620 763919836192 772046642960 907154805478 954899795240 1544093285920 1814309610956 1909799590480 2267887013695 3628619221912 3819599180960 4535774027390 7257238443824 9071548054780 14514476887648 18143096109560 36286192219120 72572384438240