4087072 has 48 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 1745920.

The previous prime is 4087037. The next prime is 4087093. The reversal of 4087072 is 2707804.

4087072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 4087072.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5643 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 2^4087072 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 4087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936).

4087072 is an abundant number, since it is smaller than the sum of its proper divisors (5220800).

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

4087072 is a wasteful number, since it uses less digits than its factorization.

4087072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 4087072 is about 2021.6508106001. The cubic root of 4087072 is about 159.8836654347.

The spelling of 4087072 in words is "four million, eighty-seven thousand, seventy-two".