71841 has 16 divisors (see below), whose sum is σ = 119808. Its totient is φ = 37200.

The previous prime is 71837. The next prime is 71843. The reversal of 71841 is 14817.

It is not a de Polignac number, because 71841 - 2² = 71837 is a prime.

It is a super-2 number, since 2×71841² = 10322258562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (71843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2⁷¹⁸⁴¹ is an apocalyptic number.

It is an amenable number.

71841 is a deficient number, since it is larger than the sum of its proper divisors (47967).

71841 is a wasteful number, since it uses less digits than its factorization.

71841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its digits is 224, while the sum is 21.

The square root of 71841 is about 268.0317145414. The cubic root of 71841 is about 41.5710304348.

Subtracting from 71841 its product of digits (224), we obtain a palindrome (71617).

The spelling of 71841 in words is "seventy-one thousand, eight hundred forty-one".