48330072 has 192 divisors, whose sum is σ = 162240000. Its totient is φ = 12954816.

The previous prime is 48330049. The next prime is 48330083. The reversal of 48330072 is 27003384.

48330072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469173 + ... + 469275.

It is an arithmetic number, because the mean of its divisors is an integer number (845000).

Almost surely, 2^48330072 is an apocalyptic number.

48330072 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 48330072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81120000).

48330072 is an abundant number, since it is smaller than the sum of its proper divisors (113909928).

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

48330072 is a wasteful number, since it uses less digits than its factorization.

48330072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 48330072 is about 6951.9833141342. The cubic root of 48330072 is about 364.2552450377.

The spelling of 48330072 in words is "forty-eight million, three hundred thirty thousand, seventy-two".