4042872 has 80 divisors (see below), whose sum is σ = 12022560. Its totient is φ = 1264896.

The previous prime is 4042859. The next prime is 4042873. The reversal of 4042872 is 2782404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10833 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (150282).

Almost surely, 2^4042872 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 4042872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011280).

4042872 is an abundant number, since it is smaller than the sum of its proper divisors (7979688).

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

4042872 is a wasteful number, since it uses less digits than its factorization.

4042872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4042872 is about 2010.6894340002. The cubic root of 4042872 is about 159.3052165081.

The spelling of 4042872 in words is "four million, forty-two thousand, eight hundred seventy-two".