378387072 has 128 divisors (see below), whose sum is σ = 1276387200. Its totient is φ = 108103680.

The previous prime is 378387067. The next prime is 378387103. The reversal of 378387072 is 270783873.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16372 + ... + 32012.

It is an arithmetic number, because the mean of its divisors is an integer number (9971775).

Almost surely, 2^378387072 is an apocalyptic number.

378387072 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 378387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638193600).

378387072 is an abundant number, since it is smaller than the sum of its proper divisors (898000128).

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

378387072 is a wasteful number, since it uses less digits than its factorization.

378387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 378387072 is about 19452.1739659093. The cubic root of 378387072 is about 723.2893936277.

It can be divided in two parts, 378 and 387072, that multiplied together give a square (146313216 = 12096²).

The spelling of 378387072 in words is "three hundred seventy-eight million, three hundred eighty-seven thousand, seventy-two".