42257216 has 84 divisors (see below), whose sum is σ = 92903040. Its totient is φ = 19042560.

The previous prime is 42257203. The next prime is 42257221. The reversal of 42257216 is 61275224.

It is a happy number.

Its product of digits (6720) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716195 + ... + 716253.

Almost surely, 2^42257216 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 42257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46451520).

42257216 is an abundant number, since it is smaller than the sum of its proper divisors (50645824).

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

42257216 is a wasteful number, since it uses less digits than its factorization.

42257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 42257216 is about 6500.5550532243. Note that the first 3 decimals coincide. The cubic root of 42257216 is about 348.3108158080.

The spelling of 42257216 in words is "forty-two million, two hundred fifty-seven thousand, two hundred sixteen".