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72087954077 is a prime number
BaseRepresentation
bin100001100100011000…
…1101110001010011101
320220001221012111102002
41003020301232022131
52140114004012302
653041115012045
75131256333216
oct1031061561235
9226057174362
1072087954077
1128632852957
1211b7a13a025
136a4aba8639
1436bc04840d
151d1da98c02
hex10c8c6e29d

72087954077 has 2 divisors, whose sum is σ = 72087954078. Its totient is φ = 72087954076.

The previous prime is 72087954041. The next prime is 72087954083. The reversal of 72087954077 is 77045978027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56084186041 + 16003768036 = 236821^2 + 126506^2 .

It is a cyclic number.

It is not a de Polignac number, because 72087954077 - 210 = 72087953053 is a prime.

It is a super-3 number, since 3×720879540773 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72087954377) 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, 36043977038 + 36043977039.

It is an arithmetic number, because the mean of its divisors is an integer number (36043977039).

Almost surely, 272087954077 is an apocalyptic number.

It is an amenable number.

72087954077 is a deficient number, since it is larger than the sum of its proper divisors (1).

72087954077 is an equidigital number, since it uses as much as digits as its factorization.

72087954077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 72087954077 in words is "seventy-two billion, eighty-seven million, nine hundred fifty-four thousand, seventy-seven".