42172672 has 36 divisors (see below), whose sum is σ = 84639996. Its totient is φ = 20971520.

The previous prime is 42172667. The next prime is 42172673. The reversal of 42172672 is 27627124.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 2027776 = 6336^2 + 1424^2 .

It is not an unprimeable number, because it can be changed into a prime (42172673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65472 + ... + 66112.

It is an arithmetic number, because the mean of its divisors is an integer number (2351111).

Almost surely, 2^42172672 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 42172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319998).

42172672 is an abundant number, since it is smaller than the sum of its proper divisors (42467324).

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

42172672 is an equidigital number, since it uses as much as digits as its factorization.

42172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 42172672 is about 6494.0489680938. The cubic root of 42172672 is about 348.0783722724.

Adding to 42172672 its reverse (27627124), we get a palindrome (69799796).

It can be divided in two parts, 4217 and 2672, that added together give a square (6889 = 83²).

The spelling of 42172672 in words is "forty-two million, one hundred seventy-two thousand, six hundred seventy-two".