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72816877127 is a prime number
BaseRepresentation
bin100001111010000111…
…0010101111001000111
320221221201210121212002
41003310032111321013
52143112110032002
653241314215515
75155320146261
oct1036416257107
9227851717762
1072816877127
11289772575a5
121214228459b
136b35c03757
14374ab90b31
151d62a81002
hex10f4395e47

72816877127 has 2 divisors, whose sum is σ = 72816877128. Its totient is φ = 72816877126.

The previous prime is 72816877061. The next prime is 72816877139. The reversal of 72816877127 is 72177861827.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72816877127 - 28 = 72816876871 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72816877187) 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, 36408438563 + 36408438564.

It is an arithmetic number, because the mean of its divisors is an integer number (36408438564).

Almost surely, 272816877127 is an apocalyptic number.

72816877127 is a deficient number, since it is larger than the sum of its proper divisors (1).

72816877127 is an equidigital number, since it uses as much as digits as its factorization.

72816877127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3687936, while the sum is 56.

The spelling of 72816877127 in words is "seventy-two billion, eight hundred sixteen million, eight hundred seventy-seven thousand, one hundred twenty-seven".