42972384 has 96 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 11331072.

The previous prime is 42972373. The next prime is 42972401. The reversal of 42972384 is 48327924.

42972384 is digitally balanced in base 2, 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 (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6277 + ... + 11195.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^42972384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

42972384 is an abundant number, since it is smaller than the sum of its proper divisors (95889696).

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

42972384 is a wasteful number, since it uses less digits than its factorization.

42972384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4944 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 42972384 is about 6555.3324858469. The cubic root of 42972384 is about 350.2647901005.

The spelling of 42972384 in words is "forty-two million, nine hundred seventy-two thousand, three hundred eighty-four".