5712768 has 160 divisors (see below), whose sum is σ = 18513000. Its totient is φ = 1741824.

The previous prime is 5712757. The next prime is 5712769. The reversal of 5712768 is 8672175.

5712768 is a `hidden beast` number, since 571 + 27 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5712769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196978 + ... + 197006.

Almost surely, 2^5712768 is an apocalyptic number.

5712768 is a gapful number since it is divisible by the number (58) 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 5712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256500).

5712768 is an abundant number, since it is smaller than the sum of its proper divisors (12800232).

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

5712768 is a wasteful number, since it uses less digits than its factorization.

5712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 5712768 is about 2390.1397448685. The cubic root of 5712768 is about 178.7648775659.

The spelling of 5712768 in words is "five million, seven hundred twelve thousand, seven hundred sixty-eight".