42882672 has 160 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 11278080.

The previous prime is 42882629. The next prime is 42882683. The reversal of 42882672 is 27628824.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42882672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239479 + ... + 239657.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 2^42882672 is an apocalyptic number.

42882672 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 42882672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

42882672 is an abundant number, since it is smaller than the sum of its proper divisors (94251408).

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

42882672 is a wasteful number, since it uses less digits than its factorization.

42882672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 42882672 is about 6548.4862372918. The cubic root of 42882672 is about 350.0208749454.

The spelling of 42882672 in words is "forty-two million, eight hundred eighty-two thousand, six hundred seventy-two".