4072720896 has 120 divisors (see below), whose sum is σ = 12041393364. Its totient is φ = 1324400640.

The previous prime is 4072720859. The next prime is 4072720903. The reversal of 4072720896 is 6980272704.

It can be written as a sum of positive squares in 2 ways, for example, as 3084247296 + 988473600 = 55536^2 + 31440^2 .

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 11 ways as a sum of consecutive naturals, for example, 178150 + ... + 199706.

Almost surely, 2^4072720896 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 4072720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020696682).

4072720896 is an abundant number, since it is smaller than the sum of its proper divisors (7968672468).

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

4072720896 is a wasteful number, since it uses less digits than its factorization.

4072720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21622 (or 21603 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4072720896 is about 63817.8728570610. The cubic root of 4072720896 is about 1596.9631061108.

The spelling of 4072720896 in words is "four billion, seventy-two million, seven hundred twenty thousand, eight hundred ninety-six".