4252320072 has 512 divisors, whose sum is σ = 16140902400. Its totient is φ = 1001548800.

The previous prime is 4252320067. The next prime is 4252320097. The reversal of 4252320072 is 2700232524.

4252320072 is a `hidden beast` number, since 425 + 232 + 0 + 0 + 7 + 2 = 666.

4252320072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15351198 + ... + 15351474.

It is an arithmetic number, because the mean of its divisors is an integer number (31525200).

Almost surely, 2^4252320072 is an apocalyptic number.

4252320072 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 4252320072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070451200).

4252320072 is an abundant number, since it is smaller than the sum of its proper divisors (11888582328).

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

4252320072 is a wasteful number, since it uses less digits than its factorization.

4252320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4252320072 is about 65209.8157641930. The cubic root of 4252320072 is about 1620.1005973196.

Adding to 4252320072 its reverse (2700232524), we get a palindrome (6952552596).

The spelling of 4252320072 in words is "four billion, two hundred fifty-two million, three hundred twenty thousand, seventy-two".