42138072 has 24 divisors (see below), whose sum is σ = 114124140. Its totient is φ = 14046000.

The previous prime is 42138059. The next prime is 42138077. The reversal of 42138072 is 27083124.

42138072 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 (24).

It is a super-2 number, since 2×42138072² = 3551234223754368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42138077) 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 5 ways as a sum of consecutive naturals, for example, 292554 + ... + 292697.

Almost surely, 2^42138072 is an apocalyptic number.

It is an amenable number.

42138072 is an abundant number, since it is smaller than the sum of its proper divisors (71986068).

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

42138072 is a wasteful number, since it uses less digits than its factorization.

42138072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585263 (or 585256 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42138072 is about 6491.3844440150. The cubic root of 42138072 is about 347.9831541588.

The spelling of 42138072 in words is "forty-two million, one hundred thirty-eight thousand, seventy-two".