6533072 has 60 divisors (see below), whose sum is σ = 15881796. Its totient is φ = 2580480.

The previous prime is 6533071. The next prime is 6533077. The reversal of 6533072 is 2703356.

It can be written as a sum of positive squares in 2 ways, for example, as 3519376 + 3013696 = 1876^2 + 1736^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 6⁵ + 5³ + 3¹³ + 3¹⁴ + 0 + 7⁵ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6533071) 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 11 ways as a sum of consecutive naturals, for example, 9872 + ... + 10512.

Almost surely, 2^6533072 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 6533072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940898).

6533072 is an abundant number, since it is smaller than the sum of its proper divisors (9348724).

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

6533072 is a wasteful number, since it uses less digits than its factorization.

6533072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 6533072 is about 2555.9874804075. The cubic root of 6533072 is about 186.9415394865.

The spelling of 6533072 in words is "six million, five hundred thirty-three thousand, seventy-two".