42075124 has 60 divisors (see below), whose sum is σ = 92780324. Its totient is φ = 16595712.

The previous prime is 42075109. The next prime is 42075127. The reversal of 42075124 is 42157024.

It can be written as a sum of positive squares in 2 ways, for example, as 8643600 + 33431524 = 2940^2 + 5782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42075127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124684 + ... + 125020.

Almost surely, 2^42075124 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 42075124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46390162).

42075124 is an abundant number, since it is smaller than the sum of its proper divisors (50705200).

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

42075124 is a wasteful number, since it uses less digits than its factorization.

42075124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 42075124 is about 6486.5340514022. The cubic root of 42075124 is about 347.8097894782.

The spelling of 42075124 in words is "forty-two million, seventy-five thousand, one hundred twenty-four".