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72118349 is a prime number
BaseRepresentation
bin1000100110001…
…11000001001101
312000200222202222
410103013001031
5121430241344
611053425125
71533665402
oct423070115
9160628688
1072118349
1137788646
122019b1a5
1311c30aa4
1498142a9
1564e85ee
hex44c704d

72118349 has 2 divisors, whose sum is σ = 72118350. Its totient is φ = 72118348.

The previous prime is 72118339. The next prime is 72118367. The reversal of 72118349 is 94381127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50197225 + 21921124 = 7085^2 + 4682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72118349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72118339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36059174 + 36059175.

It is an arithmetic number, because the mean of its divisors is an integer number (36059175).

Almost surely, 272118349 is an apocalyptic number.

It is an amenable number.

72118349 is a deficient number, since it is larger than the sum of its proper divisors (1).

72118349 is an equidigital number, since it uses as much as digits as its factorization.

72118349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 72118349 is about 8492.2522925311. The cubic root of 72118349 is about 416.2445804258.

The spelling of 72118349 in words is "seventy-two million, one hundred eighteen thousand, three hundred forty-nine".