381072 has 40 divisors (see below), whose sum is σ = 1044576. Its totient is φ = 119296.

The previous prime is 381071. The next prime is 381077. The reversal of 381072 is 270183.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (381071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 1049.

2³⁸¹⁰⁷² 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 381072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288).

381072 is an abundant number, since it is smaller than the sum of its proper divisors (663504).

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

381072 is a wasteful number, since it uses less digits than its factorization.

381072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 381072 is about 617.3102947465. The cubic root of 381072 is about 72.4996115714.

Subtracting from 381072 its reverse (270183), we obtain a square (110889 = 333²).

The spelling of 381072 in words is "three hundred eighty-one thousand, seventy-two".