48072360 has 128 divisors (see below), whose sum is σ = 166348800. Its totient is φ = 10886400.

The previous prime is 48072359. The next prime is 48072373. The reversal of 48072360 is 6327084.

48072360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48072360³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 126651 + ... + 127029.

It is an arithmetic number, because the mean of its divisors is an integer number (1299600).

Almost surely, 2^48072360 is an apocalyptic number.

48072360 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 48072360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174400).

48072360 is an abundant number, since it is smaller than the sum of its proper divisors (118276440).

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

48072360 is a wasteful number, since it uses less digits than its factorization.

48072360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 48072360 is about 6933.4233968509. The cubic root of 48072360 is about 363.6066474959.

The spelling of 48072360 in words is "forty-eight million, seventy-two thousand, three hundred sixty".