47584672 has 24 divisors (see below), whose sum is σ = 95453316. Its totient is φ = 23342592.

The previous prime is 47584657. The next prime is 47584687. The reversal of 47584672 is 27648574.

It is an interprime number because it is at equal distance from previous prime (47584657) and next prime (47584687).

It can be written as a sum of positive squares in 2 ways, for example, as 46730896 + 853776 = 6836^2 + 924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12333 + ... + 15724.

Almost surely, 2^47584672 is an apocalyptic number.

It is an amenable number.

47584672 is an abundant number, since it is smaller than the sum of its proper divisors (47868644).

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

47584672 is a wasteful number, since it uses less digits than its factorization.

47584672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28120 (or 28112 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 47584672 is about 6898.1643935180. The cubic root of 47584672 is about 362.3728848005.

The spelling of 47584672 in words is "forty-seven million, five hundred eighty-four thousand, six hundred seventy-two".