384420072 has 32 divisors (see below), whose sum is σ = 963748800. Its totient is φ = 127780224.

The previous prime is 384420067. The next prime is 384420073. The reversal of 384420072 is 270024483.

384420072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (384420073) 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, 13693 + ... + 30924.

It is an arithmetic number, because the mean of its divisors is an integer number (30117150).

Almost surely, 2^384420072 is an apocalyptic number.

It is an amenable number.

384420072 is an abundant number, since it is smaller than the sum of its proper divisors (579328728).

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

384420072 is a wasteful number, since it uses less digits than its factorization.

384420072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44985 (or 44981 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 384420072 is about 19606.6333673071. The cubic root of 384420072 is about 727.1131827262.

The spelling of 384420072 in words is "three hundred eighty-four million, four hundred twenty thousand, seventy-two".