72871 has 2 divisors, whose sum is σ = 72872. Its totient is φ = 72870.

The previous prime is 72869. The next prime is 72883. The reversal of 72871 is 17827.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (17827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72871 - 2¹ = 72869 is a prime.

Together with 72869, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36435 + 36436.

It is an arithmetic number, because the mean of its divisors is an integer number (36436).

2⁷²⁸⁷¹ is an apocalyptic number.

72871 is a deficient number, since it is larger than the sum of its proper divisors (1).

72871 is an equidigital number, since it uses as much as digits as its factorization.

72871 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 784, while the sum is 25.

The square root of 72871 is about 269.9462909543. The cubic root of 72871 is about 41.7687594231.

The spelling of 72871 in words is "seventy-two thousand, eight hundred seventy-one".