378182272 has 128 divisors (see below), whose sum is σ = 890643600. Its totient is φ = 158269440.

The previous prime is 378182219. The next prime is 378182297. The reversal of 378182272 is 272281873.

It can be written as a sum of positive squares in 8 ways, for example, as 141514816 + 236667456 = 11896^2 + 15384^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820122 + ... + 820582.

Almost surely, 2^378182272 is an apocalyptic number.

378182272 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 378182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445321800).

378182272 is an abundant number, since it is smaller than the sum of its proper divisors (512461328).

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

378182272 is a wasteful number, since it uses less digits than its factorization.

378182272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 378182272 is about 19446.9090603108. The cubic root of 378182272 is about 723.1588778926.

The spelling of 378182272 in words is "three hundred seventy-eight million, one hundred eighty-two thousand, two hundred seventy-two".