42072888 has 192 divisors, whose sum is σ = 132814080. Its totient is φ = 10982400.

The previous prime is 42072857. The next prime is 42072889. The reversal of 42072888 is 88827024.

42072888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072889) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1026148 + ... + 1026188.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 2^42072888 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 42072888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

42072888 is an abundant number, since it is smaller than the sum of its proper divisors (90741192).

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

42072888 is a wasteful number, since it uses less digits than its factorization.

42072888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 42072888 is about 6486.3616920428. The cubic root of 42072888 is about 347.8036281459.

The spelling of 42072888 in words is "forty-two million, seventy-two thousand, eight hundred eighty-eight".