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17272 = 2317127

17272 has 16 divisors (see below), whose sum is σ = 34560. Its totient is φ = 8064.

The previous prime is 17257. The next prime is 17291. The reversal of 17272 is 27271.

Subtracting 17272 from its reverse (27271), we obtain a palindrome (9999).

It can be divided in two parts, 17 and 272, that multiplied together give a square (4624 = 682).

17272 is an admirable number.

It is a congruent number.

It is an unprimeable number.

17272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

217272 is an apocalyptic number.

It is an amenable number.

17272 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

17272 is a wasteful number, since it uses less digits than its factorization.

17272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 196, while the sum is 19.

The square root of 17272 is about 131.4229812476. The cubic root of 17272 is about 25.8492259707.

The spelling of 17272 in words is "seventeen thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 8 17 34 68 127 136 254 508 1016 2159 4318 8636 17272