42753200 has 60 divisors (see below), whose sum is σ = 117395760. Its totient is φ = 14657280.

The previous prime is 42753187. The next prime is 42753233. The reversal of 42753200 is 235724.

It is a super-2 number, since 2×42753200² = 3655672220480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4835 + ... + 10434.

It is an arithmetic number, because the mean of its divisors is an integer number (1956596).

Almost surely, 2^42753200 is an apocalyptic number.

42753200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42753200 is an abundant number, since it is smaller than the sum of its proper divisors (74642560).

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

42753200 is a wasteful number, since it uses less digits than its factorization.

42753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294 (or 15283 counting only the distinct ones).

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

The square root of 42753200 is about 6538.5931208479. The cubic root of 42753200 is about 349.6682570897.

Adding to 42753200 its reverse (235724), we get a palindrome (42988924).

The spelling of 42753200 in words is "forty-two million, seven hundred fifty-three thousand, two hundred".