42507200 has 84 divisors (see below), whose sum is σ = 108094272. Its totient is φ = 16435200.

The previous prime is 42507193. The next prime is 42507211. The reversal of 42507200 is 270524.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49172 + ... + 50028.

Almost surely, 2^42507200 is an apocalyptic number.

42507200 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 42507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54047136).

42507200 is an abundant number, since it is smaller than the sum of its proper divisors (65587072).

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

42507200 is a wasteful number, since it uses less digits than its factorization.

42507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 42507200 is about 6519.7545966087. The cubic root of 42507200 is about 348.9963081467.

Adding to 42507200 its reverse (270524), we get a palindrome (42777724).

The spelling of 42507200 in words is "forty-two million, five hundred seven thousand, two hundred".