378752 has 32 divisors (see below), whose sum is σ = 826200. Its totient is φ = 171520.

The previous prime is 378739. The next prime is 378757. The reversal of 378752 is 257873.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (11760) is a multiple of the sum of its prime factors (294).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378752.

It is not an unprimeable number, because it can be changed into a prime (378757) by changing a digit.

378752 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, 1274 + ... + 1542.

2³⁷⁸⁷⁵² is an apocalyptic number.

378752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413100).

378752 is an abundant number, since it is smaller than the sum of its proper divisors (447448).

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

378752 is a wasteful number, since it uses less digits than its factorization.

378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 378752 is about 615.4283061413. The cubic root of 378752 is about 72.3521839681.

The spelling of 378752 in words is "three hundred seventy-eight thousand, seven hundred fifty-two".