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72086269 is a prime number
BaseRepresentation
bin1000100101111…
…11001011111101
312000122100202211
410102333023331
5121423230034
611053020421
71533503023
oct422771375
9160570684
1072086269
1137766532
1220184711
1311c1c2c8
149806713
1564ddd64
hex44bf2fd

72086269 has 2 divisors, whose sum is σ = 72086270. Its totient is φ = 72086268.

The previous prime is 72086213. The next prime is 72086279. The reversal of 72086269 is 96268027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36445369 + 35640900 = 6037^2 + 5970^2 .

It is an emirp because it is prime and its reverse (96268027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72086269 - 217 = 71955197 is a prime.

It is a super-2 number, since 2×720862692 = 10392860356680722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72086279) 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, 36043134 + 36043135.

It is an arithmetic number, because the mean of its divisors is an integer number (36043135).

Almost surely, 272086269 is an apocalyptic number.

It is an amenable number.

72086269 is a deficient number, since it is larger than the sum of its proper divisors (1).

72086269 is an equidigital number, since it uses as much as digits as its factorization.

72086269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 72086269 is about 8490.3633020030. The cubic root of 72086269 is about 416.1828526929.

The spelling of 72086269 in words is "seventy-two million, eighty-six thousand, two hundred sixty-nine".