6728355072 has 252 divisors, whose sum is σ = 20803864704. Its totient is φ = 2168570880.

The previous prime is 6728355019. The next prime is 6728355079. The reversal of 6728355072 is 2705538276.

6728355072 is a `hidden beast` number, since 6 + 7 + 28 + 3 + 550 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728355079) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5784763 + ... + 5785925.

Almost surely, 2^6728355072 is an apocalyptic number.

6728355072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6728355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401932352).

6728355072 is an abundant number, since it is smaller than the sum of its proper divisors (14075509632).

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

6728355072 is an equidigital number, since it uses as much as digits as its factorization.

6728355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 6728355072 is about 82026.5510185574. The cubic root of 6728355072 is about 1887.8593450707.

The spelling of 6728355072 in words is "six billion, seven hundred twenty-eight million, three hundred fifty-five thousand, seventy-two".