378286272 has 252 divisors, whose sum is σ = 1359657936. Its totient is φ = 99671040.

The previous prime is 378286253. The next prime is 378286277. The reversal of 378286272 is 272682873.

378286272 is a `hidden beast` number, since 378 + 2 + 8 + 6 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378286277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366397 + ... + 367427.

It is an arithmetic number, because the mean of its divisors is an integer number (5395468).

Almost surely, 2^378286272 is an apocalyptic number.

378286272 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 378286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679828968).

378286272 is an abundant number, since it is smaller than the sum of its proper divisors (981371664).

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

378286272 is a wasteful number, since it uses less digits than its factorization.

378286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1056 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 378286272 is about 19449.5828232896. The cubic root of 378286272 is about 723.2251613012.

It can be divided in two parts, 37828 and 6272, that added together give a square (44100 = 210²).

The spelling of 378286272 in words is "three hundred seventy-eight million, two hundred eighty-six thousand, two hundred seventy-two".