42039872 has 56 divisors (see below), whose sum is σ = 96341184. Its totient is φ = 17828352.

The previous prime is 42039871. The next prime is 42039889. The reversal of 42039872 is 27893024.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (42039871) 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, 47498 + ... + 48374.

Almost surely, 2^42039872 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 42039872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48170592).

42039872 is an abundant number, since it is smaller than the sum of its proper divisors (54301312).

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

42039872 is a wasteful number, since it uses less digits than its factorization.

42039872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 42039872 is about 6483.8161602562. The cubic root of 42039872 is about 347.7126266311.

The spelling of 42039872 in words is "forty-two million, thirty-nine thousand, eight hundred seventy-two".