4072656000 has 1024 divisors, whose sum is σ = 17597399040. Its totient is φ = 811008000.

The previous prime is 4072655999. The next prime is 4072656001. The reversal of 4072656000 is 6562704.

It is an interprime number because it is at equal distance from previous prime (4072655999) and next prime (4072656001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4072656001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131375985 + ... + 131376015.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 2^4072656000 is an apocalyptic number.

4072656000 is a gapful number since it is divisible by the number (40) 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 4072656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798699520).

4072656000 is an abundant number, since it is smaller than the sum of its proper divisors (13524743040).

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

4072656000 is a wasteful number, since it uses less digits than its factorization.

4072656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4072656000 is about 63817.3644081295. The cubic root of 4072656000 is about 1596.9546238970.

The spelling of 4072656000 in words is "four billion, seventy-two million, six hundred fifty-six thousand".