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72769327056 = 2432975209717
BaseRepresentation
bin100001111000101100…
…0111100111111010000
320221211102022211102100
41003301120330333100
52143012421431211
653232455120400
75154202034316
oct1036130747720
9227742284370
1072769327056
112895242a518
121212a373100
136b290c550a
1437447340b6
151d5d7dc156
hex10f163cfd0

72769327056 has 60 divisors (see below), whose sum is σ = 205752602692. Its totient is φ = 24006371328.

The previous prime is 72769327051. The next prime is 72769327091. The reversal of 72769327056 is 65072396727.

It can be written as a sum of positive squares in 2 ways, for example, as 57640327056 + 15129000000 = 240084^2 + 123000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72769326993 and 72769327011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72769327051) 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 11 ways as a sum of consecutive naturals, for example, 2590891 + ... + 2618826.

Almost surely, 272769327056 is an apocalyptic number.

It is an amenable number.

72769327056 is an abundant number, since it is smaller than the sum of its proper divisors (132983275636).

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

72769327056 is a wasteful number, since it uses less digits than its factorization.

72769327056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209828 (or 5209819 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72769327056 in words is "seventy-two billion, seven hundred sixty-nine million, three hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 5209717 10419434 15629151 20838868 31258302 41677736 46887453 62516604 83355472 93774906 125033208 187549812 250066416 375099624 505342549 750199248 1010685098 1516027647 2021370196 3032055294 4042740392 4548082941 6064110588 8085480784 9096165882 12128221176 18192331764 24256442352 36384663528 72769327056