72689 has 2 divisors, whose sum is σ = 72690.
Its totient is φ = 72688.
The previous prime is 72679. The next prime is 72701. The reversal of 72689 is 98627.
72689 is nontrivially palindromic in base 14.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 47089 + 25600 = 217^2 + 160^2
It is an emirp because it is prime and its reverse (98627) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 72689 - 24 = 72673 is a prime.
It is a Chen prime.
It is not a weakly prime, because it can be changed into another prime (72649) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36344 + 36345.
It is an arithmetic number, because the mean of its divisors is an integer number (36345).
272689 is an apocalyptic number.
It is an amenable number.
72689 is a deficient number, since it is larger than the sum of its proper divisors (1).
72689 is an equidigital number, since it uses as much as digits as its factorization.
72689 is an evil number, because the sum of its binary digits is even.
The product of its digits is 6048, while the sum is 32.
The square root of 72689 is about 269.6089761117.
The cubic root of 72689 is about 41.7339570474.
The spelling of 72689 in words is "seventy-two thousand, six hundred eighty-nine".