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72232102432756 = 227219103328616563
BaseRepresentation
bin10000011011000111011000…
…110011101000111111110100
3100110202022200102010212012001
4100123013120303220333310
533431422321210322011
6413342545245105044
721133411556202400
oct2033073063507764
9313668612125161
1072232102432756
112101950a810a72
128127094b58184
13313c5c53b2586
1413ba0a3b62100
15853dc94197c1
hex41b1d8ce8ff4

72232102432756 has 144 divisors (see below), whose sum is σ = 155010683741760. Its totient is φ = 29284225850880.

The previous prime is 72232102432747. The next prime is 72232102432769. The reversal of 72232102432756 is 65723420123227.

It is a congruent number.

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, 11005954731 + ... + 11005961293.

It is an arithmetic number, because the mean of its divisors is an integer number (1076463081540).

Almost surely, 272232102432756 is an apocalyptic number.

72232102432756 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72232102432756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77505341870880).

72232102432756 is an abundant number, since it is smaller than the sum of its proper divisors (82778581309004).

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

72232102432756 is a wasteful number, since it uses less digits than its factorization.

72232102432756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 72232102432756 in words is "seventy-two trillion, two hundred thirty-two billion, one hundred two million, four hundred thirty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1033 1862 2066 2861 3724 4132 5722 6563 7231 11444 13126 14462 19627 20027 26252 28924 39254 40054 45941 50617 54359 78508 80108 91882 101234 108718 124697 137389 140189 183764 202468 217436 249394 274778 280378 321587 380513 498788 549556 560756 643174 761026 872879 961723 1286348 1522052 1745758 1923446 2663591 2955413 3491516 3846892 5327182 5910826 6110153 6779579 10654364 11821652 12220306 13559158 18776743 20687891 24440612 27118316 37553486 41375782 47457053 56152847 75106972 82751564 94914106 112305694 128812001 131437201 144815237 189828212 224611388 257624002 262874402 289630474 332199371 356758117 393069929 515248004 525748804 579260948 664398742 713516234 786139858 901684007 920060407 1328797484 1427032468 1572279716 1803368014 1840120814 2497306819 2751489503 3606736028 3680241628 4994613638 5502979006 6311788049 9989227276 11005958012 12623576098 17481147733 19396375519 25247152196 34962295466 38792751038 69924590932 77585502076 135774628633 271549257266 368531134861 543098514532 737062269722 950422400431 1474124539444 1900844800862 2579717944027 3801689601724 5159435888054 10318871776108 18058025608189 36116051216378 72232102432756