71852 has 24 divisors (see below), whose sum is σ = 145152. Its totient is φ = 30800.

The previous prime is 71849. The next prime is 71861. The reversal of 71852 is 25817.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable 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, 977 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁷¹⁸⁵² is an apocalyptic number.

It is an amenable number.

71852 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 (72576).

71852 is a wasteful number, since it uses less digits than its factorization.

71852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 71852 is about 268.0522337157. The cubic root of 71852 is about 41.5731520552.

The spelling of 71852 in words is "seventy-one thousand, eight hundred fifty-two".