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72217349 is a prime number
BaseRepresentation
bin1000100110111…
…11001100000101
312000220000120122
410103133030011
5121441423344
611055511325
71534560131
oct423371405
9160800518
1072217349
1137845a66
1220228545
1311c66b79
14983c3c1
156517aee
hex44df305

72217349 has 2 divisors, whose sum is σ = 72217350. Its totient is φ = 72217348.

The previous prime is 72217307. The next prime is 72217361. The reversal of 72217349 is 94371227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68145025 + 4072324 = 8255^2 + 2018^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72217349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72217399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36108674 + 36108675.

It is an arithmetic number, because the mean of its divisors is an integer number (36108675).

Almost surely, 272217349 is an apocalyptic number.

It is an amenable number.

72217349 is a deficient number, since it is larger than the sum of its proper divisors (1).

72217349 is an equidigital number, since it uses as much as digits as its factorization.

72217349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 35.

The square root of 72217349 is about 8498.0791358989. The cubic root of 72217349 is about 416.4349590294.

The spelling of 72217349 in words is "seventy-two million, two hundred seventeen thousand, three hundred forty-nine".