6705072 has 160 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1889280.

The previous prime is 6705053. The next prime is 6705073. The reversal of 6705072 is 2705076.

6705072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80743 + ... + 80825.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^6705072 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 6705072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6705072 is an abundant number, since it is smaller than the sum of its proper divisors (15793488).

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

6705072 is a wasteful number, since it uses less digits than its factorization.

6705072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 6705072 is about 2589.4153780342. The cubic root of 6705072 is about 188.5679220127.

It can be divided in two parts, 6 and 705072, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 6705072 in words is "six million, seven hundred five thousand, seventy-two".