78532 has 12 divisors (see below), whose sum is σ = 142380. Its totient is φ = 37856.

The previous prime is 78517. The next prime is 78539. The reversal of 78532 is 23587.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 12996 = 256^2 + 114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78497 and 78506.

It is not an unprimeable number, because it can be changed into a prime (78539) by changing a digit.

78532 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 3 ways as a sum of consecutive naturals, for example, 223 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (11865).

2⁷⁸⁵³² is an apocalyptic number.

It is an amenable number.

78532 is a deficient number, since it is larger than the sum of its proper divisors (63848).

78532 is a wasteful number, since it uses less digits than its factorization.

78532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 78532 is about 280.2356151527. The cubic root of 78532 is about 42.8235058816.

Subtracting from 78532 its reverse (23587), we obtain a palindrome (54945).

The spelling of 78532 in words is "seventy-eight thousand, five hundred thirty-two".