6567072 has 48 divisors (see below), whose sum is σ = 17512992. Its totient is φ = 2154240.

The previous prime is 6567047. The next prime is 6567073. The reversal of 6567072 is 2707656.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6567073) 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, 5922 + ... + 6942.

It is an arithmetic number, because the mean of its divisors is an integer number (364854).

Almost surely, 2^6567072 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 6567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756496).

6567072 is an abundant number, since it is smaller than the sum of its proper divisors (10945920).

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

6567072 is a wasteful number, since it uses less digits than its factorization.

6567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 6567072 is about 2562.6298991466. The cubic root of 6567072 is about 187.2652778409.

The spelling of 6567072 in words is "six million, five hundred sixty-seven thousand, seventy-two".