48963072 has 80 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 16128000.

The previous prime is 48963037. The next prime is 48963073. The reversal of 48963072 is 27036984.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48963072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48963073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194947 + ... + 195197.

Almost surely, 2^48963072 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 48963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

48963072 is an abundant number, since it is smaller than the sum of its proper divisors (83028480).

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

48963072 is a wasteful number, since it uses less digits than its factorization.

48963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 48963072 is about 6997.3617885600. The cubic root of 48963072 is about 365.8386221575.

The spelling of 48963072 in words is "forty-eight million, nine hundred sixty-three thousand, seventy-two".