756664272 has 360 divisors, whose sum is σ = 2712966984. Its totient is φ = 195084288.

The previous prime is 756664261. The next prime is 756664277. The reversal of 756664272 is 272466657.

756664272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 749883456 = 2604^2 + 27384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756664277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6696088 + ... + 6696200.

Almost surely, 2^756664272 is an apocalyptic number.

756664272 is a gapful number since it is divisible by the number (72) 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 756664272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356483492).

756664272 is an abundant number, since it is smaller than the sum of its proper divisors (1956302712).

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

756664272 is a wasteful number, since it uses less digits than its factorization.

756664272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 756664272 is about 27507.5311869313. The cubic root of 756664272 is about 911.2434284047.

The spelling of 756664272 in words is "seven hundred fifty-six million, six hundred sixty-four thousand, two hundred seventy-two".