5635872 has 96 divisors (see below), whose sum is σ = 17962560. Its totient is φ = 1704960.

The previous prime is 5635871. The next prime is 5635873. The reversal of 5635872 is 2785365.

It is an interprime number because it is at equal distance from previous prime (5635871) and next prime (5635873).

It is a tau number, because it is divible by the number of its divisors (96).

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 (5635871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9208 + ... + 9800.

It is an arithmetic number, because the mean of its divisors is an integer number (187110).

Almost surely, 2^5635872 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 5635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981280).

5635872 is an abundant number, since it is smaller than the sum of its proper divisors (12326688).

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

5635872 is a wasteful number, since it uses less digits than its factorization.

5635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 609 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5635872 is about 2373.9991575399. Note that the first 3 decimals coincide. The cubic root of 5635872 is about 177.9591708736.

The spelling of 5635872 in words is "five million, six hundred thirty-five thousand, eight hundred seventy-two".