48871872 has 336 divisors, whose sum is σ = 182587392. Its totient is φ = 12165120.

The previous prime is 48871871. The next prime is 48871909. The reversal of 48871872 is 27817884.

48871872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48871871) 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 47 ways as a sum of consecutive naturals, for example, 1576497 + ... + 1576527.

Almost surely, 2^48871872 is an apocalyptic number.

48871872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91293696).

48871872 is an abundant number, since it is smaller than the sum of its proper divisors (133715520).

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

48871872 is a wasteful number, since it uses less digits than its factorization.

48871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 48871872 is about 6990.8420093720. The cubic root of 48871872 is about 365.6113405373.

The spelling of 48871872 in words is "forty-eight million, eight hundred seventy-one thousand, eight hundred seventy-two".