4095072 has 72 divisors (see below), whose sum is σ = 11891880. Its totient is φ = 1336320.

The previous prime is 4095071. The next prime is 4095097. The reversal of 4095072 is 2705904.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4095072² = 33539229370368, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4095071) 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, 16872 + ... + 17112.

It is an arithmetic number, because the mean of its divisors is an integer number (165165).

Almost surely, 2^4095072 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 4095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945940).

4095072 is an abundant number, since it is smaller than the sum of its proper divisors (7796808).

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

4095072 is a wasteful number, since it uses less digits than its factorization.

4095072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4095072 is about 2023.6284243902. The cubic root of 4095072 is about 159.9879157540.

The spelling of 4095072 in words is "four million, ninety-five thousand, seventy-two".