42275760 has 160 divisors (see below), whose sum is σ = 140943360. Its totient is φ = 10450944.

The previous prime is 42275693. The next prime is 42275773. The reversal of 42275760 is 6757224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332817 + ... + 332943.

It is an arithmetic number, because the mean of its divisors is an integer number (880896).

Almost surely, 2^42275760 is an apocalyptic number.

42275760 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 42275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70471680).

42275760 is an abundant number, since it is smaller than the sum of its proper divisors (98667600).

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

42275760 is a wasteful number, since it uses less digits than its factorization.

42275760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 42275760 is about 6501.9812365155. The cubic root of 42275760 is about 348.3617588325.

The spelling of 42275760 in words is "forty-two million, two hundred seventy-five thousand, seven hundred sixty".