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72715065121 is a prime number
BaseRepresentation
bin100001110111000100…
…1111101011100100001
320221200122020001001001
41003232021331130201
52142410024040441
653223240112001
75152642566256
oct1035611753441
9227618201031
1072715065121
1128924838746
1212114165601
136b1aaa726a
14373b44b42d
151d58b6e731
hex10ee27d721

72715065121 has 2 divisors, whose sum is σ = 72715065122. Its totient is φ = 72715065120.

The previous prime is 72715065109. The next prime is 72715065139. The reversal of 72715065121 is 12156051727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71376602896 + 1338462225 = 267164^2 + 36585^2 .

It is a cyclic number.

It is not a de Polignac number, because 72715065121 - 27 = 72715064993 is a prime.

It is not a weakly prime, because it can be changed into another prime (72715065191) 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, 36357532560 + 36357532561.

It is an arithmetic number, because the mean of its divisors is an integer number (36357532561).

Almost surely, 272715065121 is an apocalyptic number.

It is an amenable number.

72715065121 is a deficient number, since it is larger than the sum of its proper divisors (1).

72715065121 is an equidigital number, since it uses as much as digits as its factorization.

72715065121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 72715065121 in words is "seventy-two billion, seven hundred fifteen million, sixty-five thousand, one hundred twenty-one".