42888672 has 72 divisors (see below), whose sum is σ = 122967936. Its totient is φ = 14178816.

The previous prime is 42888667. The next prime is 42888689. The reversal of 42888672 is 27688824.

It is a happy number.

42888672 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 (72).

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 11 ways as a sum of consecutive naturals, for example, 38913 + ... + 39999.

It is an arithmetic number, because the mean of its divisors is an integer number (1707888).

Almost surely, 2^42888672 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 42888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61483968).

42888672 is an abundant number, since it is smaller than the sum of its proper divisors (80079264).

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

42888672 is a wasteful number, since it uses less digits than its factorization.

42888672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 42888672 is about 6548.9443424112. The cubic root of 42888672 is about 350.0371987674.

The spelling of 42888672 in words is "forty-two million, eight hundred eighty-eight thousand, six hundred seventy-two".