48175200 has 108 divisors (see below), whose sum is σ = 169903188. Its totient is φ = 12844800.

The previous prime is 48175199. The next prime is 48175201. The reversal of 48175200 is 257184.

It is an interprime number because it is at equal distance from previous prime (48175199) and next prime (48175201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48175201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3855 + ... + 10545.

Almost surely, 2^48175200 is an apocalyptic number.

48175200 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 48175200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84951594).

48175200 is an abundant number, since it is smaller than the sum of its proper divisors (121727988).

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

48175200 is a wasteful number, since it uses less digits than its factorization.

48175200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48175200 is about 6940.8356845556. The cubic root of 48175200 is about 363.8657476969.

The spelling of 48175200 in words is "forty-eight million, one hundred seventy-five thousand, two hundred".