42431872 has 128 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 16558080.

The previous prime is 42431867. The next prime is 42431887. The reversal of 42431872 is 27813424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42431872² = 3600927522848768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597597 + ... + 597667.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^42431872 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 42431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

42431872 is an abundant number, since it is smaller than the sum of its proper divisors (63321728).

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

42431872 is a wasteful number, since it uses less digits than its factorization.

42431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 42431872 is about 6513.9751304407. The cubic root of 42431872 is about 348.7900314184.

The spelling of 42431872 in words is "forty-two million, four hundred thirty-one thousand, eight hundred seventy-two".