42284272 has 40 divisors (see below), whose sum is σ = 86700800. Its totient is φ = 19922112.

The previous prime is 42284251. The next prime is 42284273. The reversal of 42284272 is 27248224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111379 + ... + 111757.

It is an arithmetic number, because the mean of its divisors is an integer number (2167520).

Almost surely, 2^42284272 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 42284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43350400).

42284272 is an abundant number, since it is smaller than the sum of its proper divisors (44416528).

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

42284272 is a wasteful number, since it uses less digits than its factorization.

42284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 42284272 is about 6502.6357732846. The cubic root of 42284272 is about 348.3851375275.

The spelling of 42284272 in words is "forty-two million, two hundred eighty-four thousand, two hundred seventy-two".