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72034349 is a prime number
BaseRepresentation
bin1000100101100…
…10100000101101
312000112201112212
410102302200231
5121420044344
611051540205
71533165452
oct422624055
9160481485
1072034349
1137730522
122015a665
1311c0179a
1497d1829
1564cd79e
hex44b282d

72034349 has 2 divisors, whose sum is σ = 72034350. Its totient is φ = 72034348.

The previous prime is 72034327. The next prime is 72034357. The reversal of 72034349 is 94343027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46854025 + 25180324 = 6845^2 + 5018^2 .

It is a cyclic number.

It is not a de Polignac number, because 72034349 - 28 = 72034093 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72034379) 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, 36017174 + 36017175.

It is an arithmetic number, because the mean of its divisors is an integer number (36017175).

Almost surely, 272034349 is an apocalyptic number.

It is an amenable number.

72034349 is a deficient number, since it is larger than the sum of its proper divisors (1).

72034349 is an equidigital number, since it uses as much as digits as its factorization.

72034349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 72034349 is about 8487.3051671305. The cubic root of 72034349 is about 416.0829103884.

The spelling of 72034349 in words is "seventy-two million, thirty-four thousand, three hundred forty-nine".