71842 has 8 divisors (see below), whose sum is σ = 114156. Its totient is φ = 33792.

The previous prime is 71837. The next prime is 71843. The reversal of 71842 is 24817.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 3721 = 261^2 + 61^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×71842² = 10322545928, which contains 22 as substring.

It is a plaindrome in base 12.

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

71842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1090.

2⁷¹⁸⁴² is an apocalyptic number.

71842 is a deficient number, since it is larger than the sum of its proper divisors (42314).

71842 is a wasteful number, since it uses less digits than its factorization.

71842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132.

The product of its digits is 448, while the sum is 22.

The square root of 71842 is about 268.0335799858. The cubic root of 71842 is about 41.5712233183.

It can be divided in two parts, 7 and 1842, that added together give a square (1849 = 43²).

The spelling of 71842 in words is "seventy-one thousand, eight hundred forty-two".