42172728 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 12160512.

The previous prime is 42172727. The next prime is 42172759. The reversal of 42172728 is 82727124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42172721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533793 + ... + 533871.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^42172728 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 42172728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

42172728 is an abundant number, since it is smaller than the sum of its proper divisors (78787272).

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

42172728 is a wasteful number, since it uses less digits than its factorization.

42172728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 42172728 is about 6494.0532797322. The cubic root of 42172728 is about 348.0785263405.

The spelling of 42172728 in words is "forty-two million, one hundred seventy-two thousand, seven hundred twenty-eight".