5736000 has 112 divisors (see below), whose sum is σ = 19019520. Its totient is φ = 1523200.

The previous prime is 5735981. The next prime is 5736001. The reversal of 5736000 is 6375.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5736001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23881 + ... + 24119.

Almost surely, 2^5736000 is an apocalyptic number.

5736000 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 5736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

5736000 is an abundant number, since it is smaller than the sum of its proper divisors (13283520).

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

5736000 is a wasteful number, since it uses less digits than its factorization.

5736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 5736000 is about 2394.9947807876. The cubic root of 5736000 is about 179.0068763419.

The spelling of 5736000 in words is "five million, seven hundred thirty-six thousand".