72089 has 2 divisors, whose sum is σ = 72090. Its totient is φ = 72088.

The previous prime is 72077. The next prime is 72091. The reversal of 72089 is 98027.

72089 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 4489 = 260^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 72089 - 2⁴ = 72073 is a prime.

Together with 72091, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is not a weakly prime, because it can be changed into another prime (72019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36044 + 36045.

It is an arithmetic number, because the mean of its divisors is an integer number (36045).

2⁷²⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

72089 is a deficient number, since it is larger than the sum of its proper divisors (1).

72089 is an equidigital number, since it uses as much as digits as its factorization.

72089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 72089 is about 268.4939477903. The cubic root of 72089 is about 41.6188108345.

The spelling of 72089 in words is "seventy-two thousand, eighty-nine".