48576672 has 72 divisors (see below), whose sum is σ = 143279136. Its totient is φ = 16189632.

The previous prime is 48576637. The next prime is 48576691. The reversal of 48576672 is 27667584.

48576672 is a `hidden beast` number, since 4 + 8 + 576 + 6 + 72 = 666.

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

Its product of digits (564480) is a multiple of the sum of its prime factors (6272).

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 11 ways as a sum of consecutive naturals, for example, 4653 + ... + 10899.

It is an arithmetic number, because the mean of its divisors is an integer number (1989988).

Almost surely, 2^48576672 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 48576672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71639568).

48576672 is an abundant number, since it is smaller than the sum of its proper divisors (94702464).

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

48576672 is an equidigital number, since it uses as much as digits as its factorization.

48576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6252 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 48576672 is about 6969.6966935441. The cubic root of 48576672 is about 364.8737212505.

The spelling of 48576672 in words is "forty-eight million, five hundred seventy-six thousand, six hundred seventy-two".