42575832 has 72 divisors (see below), whose sum is σ = 124897500. Its totient is φ = 13096512.

The previous prime is 42575831. The next prime is 42575833. The reversal of 42575832 is 23857524.

42575832 is a `hidden beast` number, since 4 + 2 + 575 + 83 + 2 = 666.

42575832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42575831) and next prime (42575833).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42575831) 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 17 ways as a sum of consecutive naturals, for example, 10419 + ... + 13917.

Almost surely, 2^42575832 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 42575832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62448750).

42575832 is an abundant number, since it is smaller than the sum of its proper divisors (82321668).

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

42575832 is a wasteful number, since it uses less digits than its factorization.

42575832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3517 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 42575832 is about 6525.0158620497. The cubic root of 42575832 is about 349.1840366183.

The spelling of 42575832 in words is "forty-two million, five hundred seventy-five thousand, eight hundred thirty-two".