5735736 has 96 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1774080.

The previous prime is 5735731. The next prime is 5735747. The reversal of 5735736 is 6375375.

5735736 is a `hidden beast` number, since 573 + 57 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5735736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85575 + ... + 85641.

Almost surely, 2^5735736 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 5735736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5735736 is an abundant number, since it is smaller than the sum of its proper divisors (10971864).

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

5735736 is a wasteful number, since it uses less digits than its factorization.

5735736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 5735736 is about 2394.9396652108. The cubic root of 5735736 is about 179.0041300297.

The spelling of 5735736 in words is "five million, seven hundred thirty-five thousand, seven hundred thirty-six".