71646 has 8 divisors (see below), whose sum is σ = 143304. Its totient is φ = 23880.

The previous prime is 71633. The next prime is 71647. The reversal of 71646 is 64617.

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

71646 is an admirable number.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5965 + ... + 5976.

It is an arithmetic number, because the mean of its divisors is an integer number (17913).

2⁷¹⁶⁴⁶ is an apocalyptic number.

71646 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 (71652).

71646 is a wasteful number, since it uses less digits than its factorization.

71646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946.

The product of its digits is 1008, while the sum is 24.

The square root of 71646 is about 267.6677044397. The cubic root of 71646 is about 41.5333838892.

It can be divided in two parts, 71 and 646, that added together give a palindrome (717).

The spelling of 71646 in words is "seventy-one thousand, six hundred forty-six".