4072096 has 60 divisors (see below), whose sum is σ = 9529002. Its totient is φ = 1712256.

The previous prime is 4072091. The next prime is 4072097. The reversal of 4072096 is 6902704.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 960400 = 1764^2 + 980^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4072091) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76806 + ... + 76858.

Almost surely, 2^4072096 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 4072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764501).

4072096 is an abundant number, since it is smaller than the sum of its proper divisors (5456906).

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

4072096 is an frugal number, since it uses more digits than its factorization.

4072096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 4072096 is about 2017.9435076335. The cubic root of 4072096 is about 159.6881425507.

The spelling of 4072096 in words is "four million, seventy-two thousand, ninety-six".