42172064 has 48 divisors (see below), whose sum is σ = 94530240. Its totient is φ = 18332160.

The previous prime is 42172063. The next prime is 42172111. The reversal of 42172064 is 46027124.

It is not an unprimeable number, because it can be changed into a prime (42172063) 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, 5492 + ... + 10700.

It is an arithmetic number, because the mean of its divisors is an integer number (1969380).

Almost surely, 2^42172064 is an apocalyptic number.

42172064 is a gapful number since it is divisible by the number (44) 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 42172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47265120).

42172064 is an abundant number, since it is smaller than the sum of its proper divisors (52358176).

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

42172064 is a wasteful number, since it uses less digits than its factorization.

42172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 42172064 is about 6494.0021558358. The cubic root of 42172064 is about 348.0766995252.

Adding to 42172064 its reverse (46027124), we get a palindrome (88199188).

The spelling of 42172064 in words is "forty-two million, one hundred seventy-two thousand, sixty-four".