48172320 has 336 divisors, whose sum is σ = 198313920. Its totient is φ = 10824192.

The previous prime is 48172307. The next prime is 48172343. The reversal of 48172320 is 2327184.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×48172320³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816451 + ... + 816509.

It is an arithmetic number, because the mean of its divisors is an integer number (590220).

Almost surely, 2^48172320 is an apocalyptic number.

48172320 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 48172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99156960).

48172320 is an abundant number, since it is smaller than the sum of its proper divisors (150141600).

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

48172320 is an equidigital number, since it uses as much as digits as its factorization.

48172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48172320 is about 6940.6282136418. The cubic root of 48172320 is about 363.8584967031.

The spelling of 48172320 in words is "forty-eight million, one hundred seventy-two thousand, three hundred twenty".