384072 has 32 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 118080.

The previous prime is 384067. The next prime is 384079. The reversal of 384072 is 270483.

384072 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×384072² = 295022602368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (384079) 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, 304 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2³⁸⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

384072 is an abundant number, since it is smaller than the sum of its proper divisors (650808).

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

384072 is a wasteful number, since it uses less digits than its factorization.

384072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

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

The square root of 384072 is about 619.7354274204. The cubic root of 384072 is about 72.6893662309.

The spelling of 384072 in words is "three hundred eighty-four thousand, seventy-two".