42216672 has 48 divisors (see below), whose sum is σ = 111564432. Its totient is φ = 13977600.

The previous prime is 42216659. The next prime is 42216679. The reversal of 42216672 is 27661224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13672 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (2324259).

Almost surely, 2^42216672 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 42216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55782216).

42216672 is an abundant number, since it is smaller than the sum of its proper divisors (69347760).

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

42216672 is a wasteful number, since it uses less digits than its factorization.

42216672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 42216672 is about 6497.4358019145. The cubic root of 42216672 is about 348.1993836951.

Adding to 42216672 its reverse (27661224), we get a palindrome (69877896).

It can be divided in two parts, 4 and 2216672, that multiplied together give a palindrome (8866688).

The spelling of 42216672 in words is "forty-two million, two hundred sixteen thousand, six hundred seventy-two".