42537200 has 120 divisors (see below), whose sum is σ = 111860400. Its totient is φ = 15482880.

The previous prime is 42537169. The next prime is 42537203. The reversal of 42537200 is 273524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42537203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220304 + ... + 220496.

It is an arithmetic number, because the mean of its divisors is an integer number (932170).

Almost surely, 2^42537200 is an apocalyptic number.

42537200 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 42537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55930200).

42537200 is an abundant number, since it is smaller than the sum of its proper divisors (69323200).

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

42537200 is a wasteful number, since it uses less digits than its factorization.

42537200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 42537200 is about 6522.0548909067. The cubic root of 42537200 is about 349.0783917084.

The spelling of 42537200 in words is "forty-two million, five hundred thirty-seven thousand, two hundred".