42573792 has 48 divisors (see below), whose sum is σ = 112229712. Its totient is φ = 14131200.

The previous prime is 42573721. The next prime is 42573793. The reversal of 42573792 is 29737524.

42573792 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42573792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42573793) 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 7 ways as a sum of consecutive naturals, for example, 25792 + ... + 27392.

It is an arithmetic number, because the mean of its divisors is an integer number (2338119).

Almost surely, 2^42573792 is an apocalyptic number.

It is an amenable number.

42573792 is an abundant number, since it is smaller than the sum of its proper divisors (69655920).

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

42573792 is a wasteful number, since it uses less digits than its factorization.

42573792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1883 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 42573792 is about 6524.8595387181. The cubic root of 42573792 is about 349.1784595355.

It can be divided in two parts, 42573 and 792, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42573792 in words is "forty-two million, five hundred seventy-three thousand, seven hundred ninety-two".