42221872 has 80 divisors (see below), whose sum is σ = 104493312. Its totient is φ = 16047360.

The previous prime is 42221831. The next prime is 42221899. The reversal of 42221872 is 27812224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42221872.

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 15 ways as a sum of consecutive naturals, for example, 52578 + ... + 53374.

Almost surely, 2^42221872 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 42221872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

42221872 is an abundant number, since it is smaller than the sum of its proper divisors (62271440).

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

42221872 is a wasteful number, since it uses less digits than its factorization.

42221872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 42221872 is about 6497.8359474520. The cubic root of 42221872 is about 348.2136794885.

The spelling of 42221872 in words is "forty-two million, two hundred twenty-one thousand, eight hundred seventy-two".