42032200 has 72 divisors (see below), whose sum is σ = 113706450. Its totient is φ = 14407680.

The previous prime is 42032191. The next prime is 42032203. The reversal of 42032200 is 223024.

It can be written as a sum of positive squares in 3 ways, for example, as 39162564 + 2869636 = 6258^2 + 1694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7656 + ... + 11944.

Almost surely, 2^42032200 is an apocalyptic number.

42032200 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 42032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56853225).

42032200 is an abundant number, since it is smaller than the sum of its proper divisors (71674250).

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

42032200 is a wasteful number, since it uses less digits than its factorization.

42032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42032200 is about 6483.2245063703. The cubic root of 42032200 is about 347.6914735889.

Adding to 42032200 its reverse (223024), we get a palindrome (42255224).

The spelling of 42032200 in words is "forty-two million, thirty-two thousand, two hundred".