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72719014212 = 2232133117412879
BaseRepresentation
bin100001110111001100…
…1000001100101000100
320221200220122200011200
41003232121001211010
52142412031423322
653223500502500
75153021264535
oct1035631014504
9227626580150
1072719014212
1128926a95759
121211554aa30
136b1b85a8c0
14373bb9868c
151d5919e8ac
hex10ee641944

72719014212 has 144 divisors (see below), whose sum is σ = 204531425280. Its totient is φ = 21633350400.

The previous prime is 72719014211. The next prime is 72719014219. The reversal of 72719014212 is 21241091727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72719014211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25256989 + ... + 25259867.

It is an arithmetic number, because the mean of its divisors is an integer number (1420357120).

Almost surely, 272719014212 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 72719014212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102265712640).

72719014212 is an abundant number, since it is smaller than the sum of its proper divisors (131812411068).

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

72719014212 is a wasteful number, since it uses less digits than its factorization.

72719014212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 72719014212 in words is "seventy-two billion, seven hundred nineteen million, fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 1741 2418 2879 3482 3627 4836 5223 5758 6964 7254 8637 10446 11516 14508 15669 17274 20892 22633 25911 31338 34548 37427 45266 51822 53971 62676 67899 74854 89249 90532 103644 107942 112281 135798 149708 161913 178498 203697 215884 224562 267747 271596 323826 336843 356996 407394 449124 485739 535494 647652 673686 701623 803241 814788 971478 1070988 1160237 1347372 1403246 1606482 1942956 2104869 2320474 2806492 3212964 3480711 4209738 4640948 5012339 6314607 6961422 8419476 10024678 10442133 12629214 13922844 15037017 20049356 20884266 25258428 30074034 41768532 45111051 60148068 65160407 90222102 130320814 155382509 180444204 195481221 260641628 310765018 390962442 466147527 586443663 621530036 781924884 932295054 1172887326 1398442581 1864590108 2019972617 2345774652 2796885162 4039945234 5593770324 6059917851 8079890468 12119835702 18179753553 24239671404 36359507106 72719014212