6815072 has 48 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 2931840.

The previous prime is 6815069. The next prime is 6815099. The reversal of 6815072 is 2705186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6179 + ... + 7197.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^6815072 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 6815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

6815072 is an abundant number, since it is smaller than the sum of its proper divisors (8607328).

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

6815072 is a wasteful number, since it uses less digits than its factorization.

6815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 6815072 is about 2610.5692865733. The cubic root of 6815072 is about 189.5935169616.

The spelling of 6815072 in words is "six million, eight hundred fifteen thousand, seventy-two".