5735952 has 60 divisors (see below), whose sum is σ = 16340844. Its totient is φ = 1877760.

The previous prime is 5735923. The next prime is 5735959. The reversal of 5735952 is 2595375.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 5089536 = 804^2 + 2256^2 .

It is a super-2 number, since 2×5735952² = 65802290692608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5735959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8458 + ... + 9110.

Almost surely, 2^5735952 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 5735952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170422).

5735952 is an abundant number, since it is smaller than the sum of its proper divisors (10604892).

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

5735952 is a wasteful number, since it uses less digits than its factorization.

5735952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 5735952 is about 2394.9847598680. The cubic root of 5735952 is about 179.0063770186.

The spelling of 5735952 in words is "five million, seven hundred thirty-five thousand, nine hundred fifty-two".