4087872 has 84 divisors (see below), whose sum is σ = 12045696. Its totient is φ = 1324800.

The previous prime is 4087847. The next prime is 4087873. The reversal of 4087872 is 2787804.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4087873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26997 + ... + 27147.

Almost surely, 2^4087872 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 4087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022848).

4087872 is an abundant number, since it is smaller than the sum of its proper divisors (7957824).

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

4087872 is a wasteful number, since it uses less digits than its factorization.

4087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4087872 is about 2021.8486590247. The cubic root of 4087872 is about 159.8940965850.

The spelling of 4087872 in words is "four million, eighty-seven thousand, eight hundred seventy-two".