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72617 is a prime number
BaseRepresentation
bin10001101110101001
310200121112
4101232221
54310432
61320105
7421466
oct215651
9120545
1072617
114a616
1236035
132708c
141c66d
15167b2
hex11ba9

72617 has 2 divisors, whose sum is σ = 72618. Its totient is φ = 72616.

The previous prime is 72613. The next prime is 72623. The reversal of 72617 is 71627.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 256 = 269^2 + 16^2 .

72617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 72617 - 22 = 72613 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72592 and 72601.

It is not a weakly prime, because it can be changed into another prime (72613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36308 + 36309.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

272617 is an apocalyptic number.

It is an amenable number.

72617 is a deficient number, since it is larger than the sum of its proper divisors (1).

72617 is an equidigital number, since it uses as much as digits as its factorization.

72617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588, while the sum is 23.

The square root of 72617 is about 269.4754163184. The cubic root of 72617 is about 41.7201730380.

Subtracting from 72617 its reverse (71627), we obtain a triangular number (990 = T44).

The spelling of 72617 in words is "seventy-two thousand, six hundred seventeen".