947712672 has 72 divisors (see below), whose sum is σ = 2767928436. Its totient is φ = 307362816.

The previous prime is 947712671. The next prime is 947712697. The reversal of 947712672 is 276217749.

947712672 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 2 ways, for example, as 859427856 + 88284816 = 29316^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (947712671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33813 + ... + 55124.

Almost surely, 2^947712672 is an apocalyptic number.

It is an amenable number.

947712672 is an abundant number, since it is smaller than the sum of its proper divisors (1820215764).

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

947712672 is a wasteful number, since it uses less digits than its factorization.

947712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88990 (or 88979 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 947712672 is about 30784.9422932706. The cubic root of 947712672 is about 982.2579727445.

The spelling of 947712672 in words is "nine hundred forty-seven million, seven hundred twelve thousand, six hundred seventy-two".