42882720 has 96 divisors (see below), whose sum is σ = 138438720. Its totient is φ = 11151360.

The previous prime is 42882689. The next prime is 42882727. The reversal of 42882720 is 2728824.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42882727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18591 + ... + 20769.

It is an arithmetic number, because the mean of its divisors is an integer number (1442070).

Almost surely, 2^42882720 is an apocalyptic number.

42882720 is a gapful number since it is divisible by the number (40) 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 42882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69219360).

42882720 is an abundant number, since it is smaller than the sum of its proper divisors (95556000).

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

42882720 is a wasteful number, since it uses less digits than its factorization.

42882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42882720 is about 6548.4899022599. The cubic root of 42882720 is about 350.0210055420.

The spelling of 42882720 in words is "forty-two million, eight hundred eighty-two thousand, seven hundred twenty".