384288072 has 64 divisors (see below), whose sum is σ = 1155763200. Its totient is φ = 104016960.

The previous prime is 384288067. The next prime is 384288089. The reversal of 384288072 is 270882483.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57004 + ... + 63387.

It is an arithmetic number, because the mean of its divisors is an integer number (18058800).

Almost surely, 2^384288072 is an apocalyptic number.

It is an amenable number.

384288072 is an abundant number, since it is smaller than the sum of its proper divisors (771475128).

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

384288072 is a wasteful number, since it uses less digits than its factorization.

384288072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120426 (or 120422 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 384288072 is about 19603.2668706009. The cubic root of 384288072 is about 727.0299491884.

The spelling of 384288072 in words is "three hundred eighty-four million, two hundred eighty-eight thousand, seventy-two".