48637872 has 120 divisors (see below), whose sum is σ = 148465200. Its totient is φ = 14805504.

The previous prime is 48637829. The next prime is 48637873. The reversal of 48637872 is 27873684.

It is a happy number.

48637872 is a `hidden beast` number, since 4 + 8 + 637 + 8 + 7 + 2 = 666.

48637872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (48637873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79038 + ... + 79650.

It is an arithmetic number, because the mean of its divisors is an integer number (1237210).

Almost surely, 2^48637872 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 48637872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74232600).

48637872 is an abundant number, since it is smaller than the sum of its proper divisors (99827328).

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

48637872 is a wasteful number, since it uses less digits than its factorization.

48637872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 48637872 is about 6974.0857465334. The cubic root of 48637872 is about 365.0268873669.

The spelling of 48637872 in words is "forty-eight million, six hundred thirty-seven thousand, eight hundred seventy-two".