6535872 has 84 divisors (see below), whose sum is σ = 21423376. Its totient is φ = 1866240.

The previous prime is 6535861. The next prime is 6535873. The reversal of 6535872 is 2785356.

It is a tau number, because it is divible by the number of its divisors (84).

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 (6535873) 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 11 ways as a sum of consecutive naturals, for example, 3222 + ... + 4842.

Almost surely, 2^6535872 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 6535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711688).

6535872 is an abundant number, since it is smaller than the sum of its proper divisors (14887504).

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

6535872 is a wasteful number, since it uses less digits than its factorization.

6535872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1633 counting only the distinct ones).

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

The square root of 6535872 is about 2556.5351552443. The cubic root of 6535872 is about 186.9682426744.

It can be divided in two parts, 65 and 35872, that added together give a cube (35937 = 33³).

The spelling of 6535872 in words is "six million, five hundred thirty-five thousand, eight hundred seventy-two".