42200172 has 108 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 11777472.

The previous prime is 42200167. The next prime is 42200201. The reversal of 42200172 is 27100224.

42200172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82654 + ... + 83162.

It is an arithmetic number, because the mean of its divisors is an integer number (1175720).

Almost surely, 2^42200172 is an apocalyptic number.

42200172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

42200172 is an abundant number, since it is smaller than the sum of its proper divisors (84777588).

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

42200172 is a wasteful number, since it uses less digits than its factorization.

42200172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42200172 is about 6496.1659461562. The cubic root of 42200172 is about 348.1540142694.

Adding to 42200172 its reverse (27100224), we get a palindrome (69300396).

The spelling of 42200172 in words is "forty-two million, two hundred thousand, one hundred seventy-two".