48900072 has 128 divisors (see below), whose sum is σ = 141724800. Its totient is φ = 13934592.

The previous prime is 48900013. The next prime is 48900077. The reversal of 48900072 is 27000984.

It is not an unprimeable number, because it can be changed into a prime (48900077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432688 + ... + 432800.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^48900072 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 48900072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70862400).

48900072 is an abundant number, since it is smaller than the sum of its proper divisors (92824728).

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

48900072 is a wasteful number, since it uses less digits than its factorization.

48900072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 48900072 is about 6992.8586429299. The cubic root of 48900072 is about 365.6816485825.

The spelling of 48900072 in words is "forty-eight million, nine hundred thousand, seventy-two".