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72061105520 = 24517148335729
BaseRepresentation
bin100001100011100101…
…1010011010101110000
320220000001200110010002
41003013023103111300
52140040120334040
653034315325132
75130512201435
oct1030713232560
9226001613102
1072061105520
1128619685168
1211b711507a8
136a45467c11
1436b8659b8c
151d1b543a15
hex10c72d3570

72061105520 has 80 divisors (see below), whose sum is σ = 177522075360. Its totient is φ = 27109834752.

The previous prime is 72061105511. The next prime is 72061105577. The reversal of 72061105520 is 2550116027.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1999016 + ... + 2034744.

It is an arithmetic number, because the mean of its divisors is an integer number (2219025942).

Almost surely, 272061105520 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 72061105520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88761037680).

72061105520 is an abundant number, since it is smaller than the sum of its proper divisors (105460969840).

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

72061105520 is a wasteful number, since it uses less digits than its factorization.

72061105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37242 (or 37236 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 72061105520 in words is "seventy-two billion, sixty-one million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1483 2966 5932 7415 11864 14830 23728 25211 29660 35729 50422 59320 71458 100844 118640 126055 142916 178645 201688 252110 285832 357290 403376 504220 571664 607393 714580 1008440 1214786 1429160 2016880 2429572 2858320 3036965 4859144 6073930 9718288 12147860 24295720 48591440 52986107 105972214 211944428 264930535 423888856 529861070 847777712 900763819 1059722140 1801527638 2119444280 3603055276 4238888560 4503819095 7206110552 9007638190 14412221104 18015276380 36030552760 72061105520