382272000 has 320 divisors, whose sum is σ = 1394160768. Its totient is φ = 92160000.

The previous prime is 382271993. The next prime is 382272041. The reversal of 382272000 is 272283.

382272000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×382272000² = 292263763968000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111910 + ... + 2112090.

Almost surely, 2^382272000 is an apocalyptic number.

382272000 is a gapful number since it is divisible by the number (30) 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 382272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697080384).

382272000 is an abundant number, since it is smaller than the sum of its proper divisors (1011888768).

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

382272000 is a wasteful number, since it uses less digits than its factorization.

382272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

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

The square root of 382272000 is about 19551.7774128083. Note that the first 3 decimals coincide. The cubic root of 382272000 is about 725.7563252678.

The spelling of 382272000 in words is "three hundred eighty-two million, two hundred seventy-two thousand".