378072 has 48 divisors (see below), whose sum is σ = 1053000. Its totient is φ = 122496.

The previous prime is 378071. The next prime is 378083. The reversal of 378072 is 270873.

378072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4204 + ... + 4292.

2³⁷⁸⁰⁷² 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 378072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526500).

378072 is an abundant number, since it is smaller than the sum of its proper divisors (674928).

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

378072 is a wasteful number, since it uses less digits than its factorization.

378072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 378072 is about 614.8755971739. The cubic root of 378072 is about 72.3088583810.

The spelling of 378072 in words is "three hundred seventy-eight thousand, seventy-two".