6615072 has 72 divisors (see below), whose sum is σ = 19079424. Its totient is φ = 2173824.

The previous prime is 6615071. The next prime is 6615079. The reversal of 6615072 is 2705166.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6615071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29553 + ... + 29775.

It is an arithmetic number, because the mean of its divisors is an integer number (264992).

Almost surely, 2^6615072 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 6615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539712).

6615072 is an abundant number, since it is smaller than the sum of its proper divisors (12464352).

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

6615072 is a wasteful number, since it uses less digits than its factorization.

6615072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 6615072 is about 2571.9782269685. The cubic root of 6615072 is about 187.7204234372.

The spelling of 6615072 in words is "six million, six hundred fifteen thousand, seventy-two".