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72137759120 = 2457128817427
BaseRepresentation
bin100001100101110111…
…1101101100110010000
320220012101220212002022
41003023233231212100
52140214231242440
653050054311012
75132432556350
oct1031357554620
9226171825068
1072137759120
1128658980149
1211b92958468
136a582c608b
1436c48d0b60
151d23135cb5
hex10cbbed990

72137759120 has 40 divisors (see below), whose sum is σ = 191680332864. Its totient is φ = 24732945792.

The previous prime is 72137759093. The next prime is 72137759129. The reversal of 72137759120 is 2195773127.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (72137759129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64408154 + ... + 64409273.

Almost surely, 272137759120 is an apocalyptic number.

72137759120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72137759120 is an abundant number, since it is smaller than the sum of its proper divisors (119542573744).

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

72137759120 is a wasteful number, since it uses less digits than its factorization.

72137759120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128817447 (or 128817441 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 44.

The spelling of 72137759120 in words is "seventy-two billion, one hundred thirty-seven million, seven hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 128817427 257634854 515269708 644087135 901721989 1030539416 1288174270 1803443978 2061078832 2576348540 3606887956 4508609945 5152697080 7213775912 9017219890 10305394160 14427551824 18034439780 36068879560 72137759120