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72813780727 is a prime number
BaseRepresentation
bin100001111010000001…
…0100001111011110111
320221221111222022101121
41003310002201323313
52143110311440402
653241124004411
75155251632002
oct1036402417367
9227844868347
1072813780727
1128975532196
1212141230707
136b3538b26c
14374a5c6539
151d6266d837
hex10f40a1ef7

72813780727 has 2 divisors, whose sum is σ = 72813780728. Its totient is φ = 72813780726.

The previous prime is 72813780709. The next prime is 72813780791. The reversal of 72813780727 is 72708731827.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72813780727 - 215 = 72813747959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72813780227) 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 as a sum of consecutive naturals, namely, 36406890363 + 36406890364.

It is an arithmetic number, because the mean of its divisors is an integer number (36406890364).

Almost surely, 272813780727 is an apocalyptic number.

72813780727 is a deficient number, since it is larger than the sum of its proper divisors (1).

72813780727 is an equidigital number, since it uses as much as digits as its factorization.

72813780727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1843968, while the sum is 52.

The spelling of 72813780727 in words is "seventy-two billion, eight hundred thirteen million, seven hundred eighty thousand, seven hundred twenty-seven".