42075216 has 120 divisors (see below), whose sum is σ = 124043400. Its totient is φ = 13298688.

The previous prime is 42075197. The next prime is 42075217. The reversal of 42075216 is 61257024.

It can be written as a sum of positive squares in 4 ways, for example, as 10265616 + 31809600 = 3204^2 + 5640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42075216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42075217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282310 + ... + 282458.

It is an arithmetic number, because the mean of its divisors is an integer number (1033695).

Almost surely, 2^42075216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42075216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62021700).

42075216 is an abundant number, since it is smaller than the sum of its proper divisors (81968184).

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

42075216 is a wasteful number, since it uses less digits than its factorization.

42075216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42075216 is about 6486.5411430130. The cubic root of 42075216 is about 347.8100429810.

The spelling of 42075216 in words is "forty-two million, seventy-five thousand, two hundred sixteen".