5735296 has 64 divisors (see below), whose sum is σ = 13488480. Its totient is φ = 2377728.

The previous prime is 5735291. The next prime is 5735357. The reversal of 5735296 is 6925375.

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 (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33066 + ... + 33238.

Almost surely, 2^5735296 is an apocalyptic number.

5735296 is a gapful number since it is divisible by the number (56) 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 5735296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744240).

5735296 is an abundant number, since it is smaller than the sum of its proper divisors (7753184).

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

5735296 is a wasteful number, since it uses less digits than its factorization.

5735296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its digits is 56700, while the sum is 37.

The square root of 5735296 is about 2394.8478030973. The cubic root of 5735296 is about 178.9995526554. Note that the first 3 decimals are identical.

It can be divided in two parts, 57 and 35296, that added together give a palindrome (35353).

The spelling of 5735296 in words is "five million, seven hundred thirty-five thousand, two hundred ninety-six".