48072960 has 288 divisors, whose sum is σ = 185431680. Its totient is φ = 11722752.

The previous prime is 48072917. The next prime is 48073007. The reversal of 48072960 is 6927084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×48072960³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449227 + ... + 449333.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 2^48072960 is an apocalyptic number.

48072960 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 48072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

48072960 is an abundant number, since it is smaller than the sum of its proper divisors (137358720).

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

48072960 is a wasteful number, since it uses less digits than its factorization.

48072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48072960 is about 6933.4666653846. The cubic root of 48072960 is about 363.6081602369.

The spelling of 48072960 in words is "forty-eight million, seventy-two thousand, nine hundred sixty".