4478007072 has 192 divisors, whose sum is σ = 14897046528. Its totient is φ = 1143936000.

The previous prime is 4478007067. The next prime is 4478007137. The reversal of 4478007072 is 2707008744.

It is a self number, because there is not a number n which added to its sum of digits gives 4478007072.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445947 + ... + 455877.

It is an arithmetic number, because the mean of its divisors is an integer number (77588784).

Almost surely, 2^4478007072 is an apocalyptic number.

4478007072 is a gapful number since it is divisible by the number (42) 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 4478007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448523264).

4478007072 is an abundant number, since it is smaller than the sum of its proper divisors (10419039456).

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

4478007072 is a wasteful number, since it uses less digits than its factorization.

4478007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 4478007072 is about 66917.9129381663. The cubic root of 4478007072 is about 1648.2696364983.

The spelling of 4478007072 in words is "four billion, four hundred seventy-eight million, seven thousand, seventy-two".