48115872 has 144 divisors (see below), whose sum is σ = 161965440. Its totient is φ = 13257216.

The previous prime is 48115861. The next prime is 48115883. The reversal of 48115872 is 27851184.

It is an interprime number because it is at equal distance from previous prime (48115861) and next prime (48115883).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 58053 + ... + 58875.

It is an arithmetic number, because the mean of its divisors is an integer number (1124760).

Almost surely, 2^48115872 is an apocalyptic number.

48115872 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 48115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80982720).

48115872 is an abundant number, since it is smaller than the sum of its proper divisors (113849568).

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

48115872 is a wasteful number, since it uses less digits than its factorization.

48115872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 48115872 is about 6936.5605309836. The cubic root of 48115872 is about 363.7163188427.

The spelling of 48115872 in words is "forty-eight million, one hundred fifteen thousand, eight hundred seventy-two".