756272448 has 84 divisors (see below), whose sum is σ = 2171969748. Its totient is φ = 251596800.

The previous prime is 756272417. The next prime is 756272471. The reversal of 756272448 is 844272657.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 296941824 + 459330624 = 17232^2 + 21432^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402840 + ... + 404712.

Almost surely, 2^756272448 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 756272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085984874).

756272448 is an abundant number, since it is smaller than the sum of its proper divisors (1415697300).

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

756272448 is a wasteful number, since it uses less digits than its factorization.

756272448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2579 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 756272448 is about 27500.4081424258. The cubic root of 756272448 is about 911.0861113021.

The spelling of 756272448 in words is "seven hundred fifty-six million, two hundred seventy-two thousand, four hundred forty-eight".