6705025272 has 144 divisors (see below), whose sum is σ = 20649447000. Its totient is φ = 1961688960.

The previous prime is 6705025213. The next prime is 6705025279. The reversal of 6705025272 is 2725205076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705025279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239379 + ... + 265917.

Almost surely, 2^6705025272 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 6705025272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324723500).

6705025272 is an abundant number, since it is smaller than the sum of its proper divisors (13944421728).

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

6705025272 is a wasteful number, since it uses less digits than its factorization.

6705025272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26602 (or 26584 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 6705025272 is about 81884.2186993318. The cubic root of 6705025272 is about 1885.6748396510.

The spelling of 6705025272 in words is "six billion, seven hundred five million, twenty-five thousand, two hundred seventy-two".