382272 has 56 divisors (see below), whose sum is σ = 1109472. Its totient is φ = 115200.

The previous prime is 382271. The next prime is 382303. The reversal of 382272 is 272283.

It is a super-2 number, since 2×382272² = 292263763968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3⁷ + 8⁶ + 2² + 2⁵ + 7⁶ + 2⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382271) 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, 2022 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2³⁸²²⁷² is an apocalyptic number.

382272 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 382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554736).

382272 is an abundant number, since it is smaller than the sum of its proper divisors (727200).

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

382272 is a wasteful number, since it uses less digits than its factorization.

382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 382272 is about 618.2814892911. The cubic root of 382272 is about 72.5756325268.

The spelling of 382272 in words is "three hundred eighty-two thousand, two hundred seventy-two".