71826 has 8 divisors (see below), whose sum is σ = 143664. Its totient is φ = 23940.

The previous prime is 71821. The next prime is 71837. The reversal of 71826 is 62817.

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

71826 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71796 and 71805.

It is not an unprimeable number, because it can be changed into a prime (71821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5980 + ... + 5991.

It is an arithmetic number, because the mean of its divisors is an integer number (17958).

2⁷¹⁸²⁶ is an apocalyptic number.

71826 is the 170-th centered pentagonal number.

71826 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71832).

71826 is a wasteful number, since it uses less digits than its factorization.

71826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976.

The product of its digits is 672, while the sum is 24.

The square root of 71826 is about 268.0037313173. The cubic root of 71826 is about 41.5681369670.

Subtracting from 71826 its reverse (62817), we obtain a palindrome (9009).

The spelling of 71826 in words is "seventy-one thousand, eight hundred twenty-six".