42872816 has 40 divisors (see below), whose sum is σ = 99934080. Its totient is φ = 17406144.

The previous prime is 42872807. The next prime is 42872833. The reversal of 42872816 is 61827824.

42872816 = T₂₈ + T₂₉ + ... + T₆₃₅.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 42872816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7946 + ... + 12201.

It is an arithmetic number, because the mean of its divisors is an integer number (2498352).

Almost surely, 2^42872816 is an apocalyptic number.

It is an amenable number.

42872816 is an abundant number, since it is smaller than the sum of its proper divisors (57061264).

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

42872816 is a wasteful number, since it uses less digits than its factorization.

42872816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20181 (or 20175 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 42872816 is about 6547.7336537156. The cubic root of 42872816 is about 349.9940570419.

The spelling of 42872816 in words is "forty-two million, eight hundred seventy-two thousand, eight hundred sixteen".