48872160 has 168 divisors, whose sum is σ = 173524680. Its totient is φ = 13001472.

The previous prime is 48872141. The next prime is 48872167. The reversal of 48872160 is 6127884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48872167) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116431 + ... + 116849.

It is an arithmetic number, because the mean of its divisors is an integer number (1032885).

Almost surely, 2^48872160 is an apocalyptic number.

48872160 is a gapful number since it is divisible by the number (40) 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 48872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86762340).

48872160 is an abundant number, since it is smaller than the sum of its proper divisors (124652520).

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

48872160 is an equidigital number, since it uses as much as digits as its factorization.

48872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48872160 is about 6990.8626077187. The cubic root of 48872160 is about 365.6120587135.

The spelling of 48872160 in words is "forty-eight million, eight hundred seventy-two thousand, one hundred sixty".