78252 has 12 divisors (see below), whose sum is σ = 182616.
Its totient is φ = 26080.
The previous prime is 78241. The next prime is 78259. The reversal of 78252 is 25287.
It is a tau number, because it is divible by the number of its divisors (12).
It is a super-2 number, since 2×782522 = 12246751008, which contains 22 as substring.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78252.
It is not an unprimeable number, because it can be changed into a prime (78259) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3249 + ... + 3272.
It is an arithmetic number, because the mean of its divisors is an integer number (15218).
278252 is an apocalyptic number.
It is an amenable number.
78252 is an abundant number, since it is smaller than the sum of its proper divisors (104364).
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 (91308).
78252 is a wasteful number, since it uses less digits than its factorization.
78252 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6528 (or 6526 counting only the distinct ones).
The product of its digits is 1120, while the sum is 24.
The square root of 78252 is about 279.7355894412.
The cubic root of 78252 is about 42.7725506003.
The spelling of 78252 in words is "seventy-eight thousand, two hundred fifty-two".