72889 has 2 divisors, whose sum is σ = 72890. Its totient is φ = 72888.

The previous prime is 72883. The next prime is 72893. The reversal of 72889 is 98827.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 1600 = 267^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 72889 - 2¹¹ = 70841 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (72883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36444 + 36445.

It is an arithmetic number, because the mean of its divisors is an integer number (36445).

2⁷²⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

72889 is a deficient number, since it is larger than the sum of its proper divisors (1).

72889 is an equidigital number, since it uses as much as digits as its factorization.

72889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 72889 is about 269.9796288611. The cubic root of 72889 is about 41.7721982661.

It can be divided in two parts, 72 and 889, that added together give a square (961 = 31²).

The spelling of 72889 in words is "seventy-two thousand, eight hundred eighty-nine".