4072448736 has 144 divisors (see below), whose sum is σ = 12418660800. Its totient is φ = 1261338624.

The previous prime is 4072448717. The next prime is 4072448741. The reversal of 4072448736 is 6378442704.

4072448736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4072448691 and 4072448700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381520 + ... + 392048.

It is an arithmetic number, because the mean of its divisors is an integer number (86240700).

Almost surely, 2^4072448736 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 4072448736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209330400).

4072448736 is an abundant number, since it is smaller than the sum of its proper divisors (8346212064).

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

4072448736 is a wasteful number, since it uses less digits than its factorization.

4072448736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10641 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 4072448736 is about 63815.7405034213. The cubic root of 4072448736 is about 1596.9275329095.

The spelling of 4072448736 in words is "four billion, seventy-two million, four hundred forty-eight thousand, seven hundred thirty-six".