75852 has 54 divisors (see below), whose sum is σ = 228228. Its totient is φ = 21168.

The previous prime is 75833. The next prime is 75853. The reversal of 75852 is 25857.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75852.

It is not an unprimeable number, because it can be changed into a prime (75853) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1743 + ... + 1785.

2⁷⁵⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114114).

75852 is an abundant number, since it is smaller than the sum of its proper divisors (152376).

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

75852 is a wasteful number, since it uses less digits than its factorization.

75852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 55 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 75852 is about 275.4124180207. The cubic root of 75852 is about 42.3307222782.

The spelling of 75852 in words is "seventy-five thousand, eight hundred fifty-two".