42750 has 48 divisors (see below), whose sum is σ = 121680. Its totient is φ = 10800.

The previous prime is 42743. The next prime is 42751. The reversal of 42750 is 5724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42750.

It is not an unprimeable number, because it can be changed into a prime (42751) by changing a digit.

42750 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 2241 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (2535).

2⁴²⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60840).

42750 is an abundant number, since it is smaller than the sum of its proper divisors (78930).

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

42750 is a wasteful number, since it uses less digits than its factorization.

42750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42750 is about 206.7607312814. The cubic root of 42750 is about 34.9659532859.

The spelling of 42750 in words is "forty-two thousand, seven hundred fifty".