71896 has 32 divisors (see below), whose sum is σ = 158400. Its totient is φ = 30240.

The previous prime is 71887. The next prime is 71899. The reversal of 71896 is 69817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71899) by changing a digit.

71896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2⁷¹⁸⁹⁶ is an apocalyptic number.

71896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

71896 is an abundant number, since it is smaller than the sum of its proper divisors (86504).

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

71896 is a wasteful number, since it uses less digits than its factorization.

71896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 71896 is about 268.1342947107. The cubic root of 71896 is about 41.5816363722.

It can be divided in two parts, 7189 and 6, that multiplied together give a palindrome (43134).

The spelling of 71896 in words is "seventy-one thousand, eight hundred ninety-six".