75864 has 32 divisors (see below), whose sum is σ = 198000. Its totient is φ = 24192.

The previous prime is 75853. The next prime is 75869. The reversal of 75864 is 46857.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642 + ... + 750.

2⁷⁵⁸⁶⁴ 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 75864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99000).

75864 is an abundant number, since it is smaller than the sum of its proper divisors (122136).

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

75864 is a wasteful number, since it uses less digits than its factorization.

75864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 75864 is about 275.4342026692. The cubic root of 75864 is about 42.3329544403.

It can be divided in two parts, 75 and 864, that added together give a palindrome (939).

The spelling of 75864 in words is "seventy-five thousand, eight hundred sixty-four".