42752000 has 96 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 16998400.

The previous prime is 42751979. The next prime is 42752051. The reversal of 42752000 is 25724.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255917 + ... + 256083.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 2^42752000 is an apocalyptic number.

42752000 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 42752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

42752000 is an abundant number, since it is smaller than the sum of its proper divisors (64569760).

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

42752000 is an equidigital number, since it uses as much as digits as its factorization.

42752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

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

The square root of 42752000 is about 6538.5013573448. The cubic root of 42752000 is about 349.6649855543.

Adding to 42752000 its reverse (25724), we get a palindrome (42777724).

The spelling of 42752000 in words is "forty-two million, seven hundred fifty-two thousand".