378112 has 36 divisors (see below), whose sum is σ = 866656. Its totient is φ = 161280.

The previous prime is 378101. The next prime is 378127. The reversal of 378112 is 211873.

378112 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1687 + ... + 1897.

2³⁷⁸¹¹² is an apocalyptic number.

378112 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 378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433328).

378112 is an abundant number, since it is smaller than the sum of its proper divisors (488544).

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

378112 is an equidigital number, since it uses as much as digits as its factorization.

378112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 378112 is about 614.9081232184. The cubic root of 378112 is about 72.3114083823.

Adding to 378112 its reverse (211873), we get a palindrome (589985).

The spelling of 378112 in words is "three hundred seventy-eight thousand, one hundred twelve".