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72816877061 is a prime number
BaseRepresentation
bin100001111010000111…
…0010101111000000101
320221221201210121202122
41003310032111320011
52143112110031221
653241314215325
75155320146135
oct1036416257005
9227851717678
1072816877061
1128977257545
1212142284545
136b35c03706
14374ab90ac5
151d62a80eab
hex10f4395e05

72816877061 has 2 divisors, whose sum is σ = 72816877062. Its totient is φ = 72816877060.

The previous prime is 72816877057. The next prime is 72816877127. The reversal of 72816877061 is 16077861827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66935520961 + 5881356100 = 258719^2 + 76690^2 .

It is a cyclic number.

It is not a de Polignac number, because 72816877061 - 22 = 72816877057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72816876994 and 72816877012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72816877961) by changing a digit.

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 as a sum of consecutive naturals, namely, 36408438530 + 36408438531.

It is an arithmetic number, because the mean of its divisors is an integer number (36408438531).

Almost surely, 272816877061 is an apocalyptic number.

It is an amenable number.

72816877061 is a deficient number, since it is larger than the sum of its proper divisors (1).

72816877061 is an equidigital number, since it uses as much as digits as its factorization.

72816877061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 72816877061 in words is "seventy-two billion, eight hundred sixteen million, eight hundred seventy-seven thousand, sixty-one".