42075792 has 120 divisors (see below), whose sum is σ = 130223808. Its totient is φ = 12576000.

The previous prime is 42075767. The next prime is 42075793. The reversal of 42075792 is 29757024.

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

It is not an unprimeable number, because it can be changed into a prime (42075793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159853 + ... + 160115.

Almost surely, 2^42075792 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 42075792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111904).

42075792 is an abundant number, since it is smaller than the sum of its proper divisors (88148016).

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

42075792 is a wasteful number, since it uses less digits than its factorization.

42075792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42075792 is about 6486.5855424869. The cubic root of 42075792 is about 347.8116301201.

It can be divided in two parts, 4207 and 5792, that added together give a palindrome (9999).

The spelling of 42075792 in words is "forty-two million, seventy-five thousand, seven hundred ninety-two".