382083072 has 112 divisors (see below), whose sum is σ = 1164896832. Its totient is φ = 109117440.

The previous prime is 382083067. The next prime is 382083073. The reversal of 382083072 is 270380283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (382083073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170922 + ... + 173142.

Almost surely, 2^382083072 is an apocalyptic number.

382083072 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 382083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582448416).

382083072 is an abundant number, since it is smaller than the sum of its proper divisors (782813760).

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

382083072 is an equidigital number, since it uses as much as digits as its factorization.

382083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 382083072 is about 19546.9453368039. The cubic root of 382083072 is about 725.6367434989.

The spelling of 382083072 in words is "three hundred eighty-two million, eighty-three thousand, seventy-two".