378252 has 72 divisors (see below), whose sum is σ = 1164800. Its totient is φ = 101088.

The previous prime is 378241. The next prime is 378253. The reversal of 378252 is 252873.

378252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378252.

It is not an unprimeable number, because it can be changed into a prime (378253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4749 + ... + 4827.

2³⁷⁸²⁵² 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 378252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582400).

378252 is an abundant number, since it is smaller than the sum of its proper divisors (786548).

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

378252 is a wasteful number, since it uses less digits than its factorization.

378252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 378252 is about 615.0219508278. The cubic root of 378252 is about 72.3203319711.

Subtracting from 378252 its sum of digits (27), we obtain a square (378225 = 615²).

It can be divided in two parts, 378 and 252, that added together give a triangular number (630 = T₃₅).

The spelling of 378252 in words is "three hundred seventy-eight thousand, two hundred fifty-two".