384672 has 24 divisors (see below), whose sum is σ = 1010016. Its totient is φ = 128192.

The previous prime is 384641. The next prime is 384673. The reversal of 384672 is 276483.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 3¹⁰ + 8 + 6⁶ + 4⁹ + 7⁵ + 2³ .

It is not an unprimeable number, because it can be changed into a prime (384673) by changing a digit.

384672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1908 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (42084).

2³⁸⁴⁶⁷² is an apocalyptic number.

384672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384672 is an abundant number, since it is smaller than the sum of its proper divisors (625344).

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

384672 is a wasteful number, since it uses less digits than its factorization.

384672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4012 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 384672 is about 620.2193160488. The cubic root of 384672 is about 72.7271984848.

It can be divided in two parts, 3 and 84672, that multiplied together give a square (254016 = 504²).

The spelling of 384672 in words is "three hundred eighty-four thousand, six hundred seventy-two".