42735750 has 64 divisors (see below), whose sum is σ = 112320000. Its totient is φ = 10792800.

The previous prime is 42735697. The next prime is 42735757. The reversal of 42735750 is 5753724.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12751 + ... + 15749.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^42735750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42735750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160000).

42735750 is an abundant number, since it is smaller than the sum of its proper divisors (69584250).

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

42735750 is a wasteful number, since it uses less digits than its factorization.

42735750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 42735750 is about 6537.2585997496. The cubic root of 42735750 is about 349.6206774823.

The spelling of 42735750 in words is "forty-two million, seven hundred thirty-five thousand, seven hundred fifty".