5984072352 has 288 divisors, whose sum is σ = 18850890240. Its totient is φ = 1792327680.

The previous prime is 5984072351. The next prime is 5984072359. The reversal of 5984072352 is 2532704895.

5984072352 is a `hidden beast` number, since 5 + 9 + 8 + 407 + 235 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5984072298 and 5984072307.

It is not an unprimeable number, because it can be changed into a prime (5984072351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13507843 + ... + 13508285.

It is an arithmetic number, because the mean of its divisors is an integer number (65454480).

Almost surely, 2^5984072352 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 5984072352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425445120).

5984072352 is an abundant number, since it is smaller than the sum of its proper divisors (12866817888).

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

5984072352 is a wasteful number, since it uses less digits than its factorization.

5984072352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5984072352 is about 77356.7860759481. The cubic root of 5984072352 is about 1815.5112536485.

The spelling of 5984072352 in words is "five billion, nine hundred eighty-four million, seventy-two thousand, three hundred fifty-two".