78528 has 28 divisors (see below), whose sum is σ = 208280. Its totient is φ = 26112.

The previous prime is 78517. The next prime is 78539. The reversal of 78528 is 82587.

It is an interprime number because it is at equal distance from previous prime (78517) and next prime (78539).

It is a junction number, because it is equal to n+sod(n) for n = 78495 and 78504.

It is an unprimeable number.

78528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 396.

2⁷⁸⁵²⁸ 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 78528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104140).

78528 is an abundant number, since it is smaller than the sum of its proper divisors (129752).

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

78528 is a wasteful number, since it uses less digits than its factorization.

78528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 78528 is about 280.2284782102. The cubic root of 78528 is about 42.8227788025.

It can be divided in two parts, 78 and 528, that added together give a palindrome (606).

The spelling of 78528 in words is "seventy-eight thousand, five hundred twenty-eight".