5872768 has 64 divisors (see below), whose sum is σ = 13194720. Its totient is φ = 2580480.

The previous prime is 5872739. The next prime is 5872787. The reversal of 5872768 is 8672785.

5872768 = T₃₇ + T₃₈ + ... + T₃₂₇.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60496 + ... + 60592.

Almost surely, 2^5872768 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 5872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597360).

5872768 is an abundant number, since it is smaller than the sum of its proper divisors (7321952).

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

5872768 is a wasteful number, since it uses less digits than its factorization.

5872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its digits is 188160, while the sum is 43.

The square root of 5872768 is about 2423.3794585248. The cubic root of 5872768 is about 180.4184503329.

The spelling of 5872768 in words is "five million, eight hundred seventy-two thousand, seven hundred sixty-eight".