48619872 has 96 divisors (see below), whose sum is σ = 162086400. Its totient is φ = 13889664.

The previous prime is 48619859. The next prime is 48619889. The reversal of 48619872 is 27891684.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029 + ... + 10067.

It is an arithmetic number, because the mean of its divisors is an integer number (1688400).

Almost surely, 2^48619872 is an apocalyptic number.

48619872 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 48619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81043200).

48619872 is an abundant number, since it is smaller than the sum of its proper divisors (113466528).

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

48619872 is a wasteful number, since it uses less digits than its factorization.

48619872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065 (or 8051 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 48619872 is about 6972.7951353815. The cubic root of 48619872 is about 364.9818518530.

The spelling of 48619872 in words is "forty-eight million, six hundred nineteen thousand, eight hundred seventy-two".