5035776 has 72 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 1637376.

The previous prime is 5035747. The next prime is 5035777. The reversal of 5035776 is 6775305.

It is a happy number.

It is a super-3 number, since 3×5035776³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035777) 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, 60631 + ... + 60713.

Almost surely, 2^5035776 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 5035776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

5035776 is an abundant number, since it is smaller than the sum of its proper divisors (8699904).

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

5035776 is an equidigital number, since it uses as much as digits as its factorization.

5035776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 5035776 is about 2244.0534752987. The cubic root of 5035776 is about 171.4044664520.

The spelling of 5035776 in words is "five million, thirty-five thousand, seven hundred seventy-six".