48475872 has 72 divisors (see below), whose sum is σ = 138574800. Its totient is φ = 16074240.

The previous prime is 48475871. The next prime is 48475877. The reversal of 48475872 is 27857484.

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

Its product of digits (501760) is a multiple of the sum of its prime factors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48475871) 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, 80629 + ... + 81227.

It is an arithmetic number, because the mean of its divisors is an integer number (1924650).

Almost surely, 2^48475872 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 48475872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69287400).

48475872 is an abundant number, since it is smaller than the sum of its proper divisors (90098928).

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

48475872 is a wasteful number, since it uses less digits than its factorization.

48475872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 885 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 48475872 is about 6962.4616336465. The cubic root of 48475872 is about 364.6211669632.

The spelling of 48475872 in words is "forty-eight million, four hundred seventy-five thousand, eight hundred seventy-two".