42573520 has 80 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 15296000.

The previous prime is 42573431. The next prime is 42573523. The reversal of 42573520 is 2537524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42573523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88641 + ... + 89119.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^42573520 is an apocalyptic number.

42573520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42573520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

42573520 is an abundant number, since it is smaller than the sum of its proper divisors (66705200).

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

42573520 is a wasteful number, since it uses less digits than its factorization.

42573520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 42573520 is about 6524.8386953242. The cubic root of 42573520 is about 349.1777159110.

It can be divided in two parts, 4257 and 3520, that added together give a palindrome (7777).

The spelling of 42573520 in words is "forty-two million, five hundred seventy-three thousand, five hundred twenty".