48159072 has 144 divisors (see below), whose sum is σ = 155478960. Its totient is φ = 14017536.

The previous prime is 48159071. The next prime is 48159077. The reversal of 48159072 is 27095184.

It is a tau number, because it is divible by the number of its divisors (144).

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 (48159071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70798 + ... + 71474.

It is an arithmetic number, because the mean of its divisors is an integer number (1079715).

Almost surely, 2^48159072 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 48159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77739480).

48159072 is an abundant number, since it is smaller than the sum of its proper divisors (107319888).

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

48159072 is a wasteful number, since it uses less digits than its factorization.

48159072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48159072 is about 6939.6737675484. The cubic root of 48159072 is about 363.8251384085.

The spelling of 48159072 in words is "forty-eight million, one hundred fifty-nine thousand, seventy-two".