5752713600 has 288 divisors, whose sum is σ = 21609424200. Its totient is φ = 1453178880.

The previous prime is 5752713569. The next prime is 5752713607. The reversal of 5752713600 is 63172575.

5752713600 is a `hidden beast` number, since 575 + 27 + 1 + 3 + 60 + 0 = 666.

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

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 (5752713607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541944 + ... + 552456.

Almost surely, 2^5752713600 is an apocalyptic number.

5752713600 is a gapful number since it is divisible by the number (50) 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 5752713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804712100).

5752713600 is an abundant number, since it is smaller than the sum of its proper divisors (15856710600).

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

5752713600 is a wasteful number, since it uses less digits than its factorization.

5752713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5752713600 is about 75846.6452784828. The cubic root of 5752713600 is about 1791.8057160756.

The spelling of 5752713600 in words is "five billion, seven hundred fifty-two million, seven hundred thirteen thousand, six hundred".