48706272 has 240 divisors, whose sum is σ = 160997760. Its totient is φ = 14370048.

The previous prime is 48706271. The next prime is 48706279. The reversal of 48706272 is 27260784.

48706272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48706271) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1132683 + ... + 1132725.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 2^48706272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498880).

48706272 is an abundant number, since it is smaller than the sum of its proper divisors (112291488).

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

48706272 is a wasteful number, since it uses less digits than its factorization.

48706272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48706272 is about 6978.9878922377. The cubic root of 48706272 is about 365.1979210561.

The spelling of 48706272 in words is "forty-eight million, seven hundred six thousand, two hundred seventy-two".