42735200 has 36 divisors (see below), whose sum is σ = 104329260. Its totient is φ = 17093760.

The previous prime is 42735191. The next prime is 42735257. The reversal of 42735200 is 253724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25910 + ... + 27509.

It is an arithmetic number, because the mean of its divisors is an integer number (2898035).

Almost surely, 2^42735200 is an apocalyptic number.

42735200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42735200 is an abundant number, since it is smaller than the sum of its proper divisors (61594060).

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

42735200 is a wasteful number, since it uses less digits than its factorization.

42735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53439 (or 53426 counting only the distinct ones).

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

The square root of 42735200 is about 6537.2165330514. The cubic root of 42735200 is about 349.6191776279.

Adding to 42735200 its reverse (253724), we get a palindrome (42988924).

The spelling of 42735200 in words is "forty-two million, seven hundred thirty-five thousand, two hundred".