4072336128 has 288 divisors, whose sum is σ = 14575518720. Its totient is φ = 1094860800.

The previous prime is 4072336127. The next prime is 4072336181. The reversal of 4072336128 is 8216332704.

It is a happy number.

4072336128 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 33 + 612 + 8 = 666.

4072336128 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4072336092 and 4072336101.

It is not an unprimeable number, because it can be changed into a prime (4072336123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820053 + ... + 825003.

It is an arithmetic number, because the mean of its divisors is an integer number (50609440).

Almost surely, 2^4072336128 is an apocalyptic number.

4072336128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287759360).

4072336128 is an abundant number, since it is smaller than the sum of its proper divisors (10503182592).

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

4072336128 is a wasteful number, since it uses less digits than its factorization.

4072336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4072336128 is about 63814.8582071605. The cubic root of 4072336128 is about 1596.9128137986.

The spelling of 4072336128 in words is "four billion, seventy-two million, three hundred thirty-six thousand, one hundred twenty-eight".