49728672 has 144 divisors (see below), whose sum is σ = 171243072. Its totient is φ = 13363200.

The previous prime is 49728667. The next prime is 49728727. The reversal of 49728672 is 27682794.

49728672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 33547 + ... + 34997.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^49728672 is an apocalyptic number.

49728672 is a gapful number since it is divisible by the number (42) 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 49728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85621536).

49728672 is an abundant number, since it is smaller than the sum of its proper divisors (121514400).

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

49728672 is a wasteful number, since it uses less digits than its factorization.

49728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1480 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 49728672 is about 7051.8559259247. The cubic root of 49728672 is about 367.7355535544.

The spelling of 49728672 in words is "forty-nine million, seven hundred twenty-eight thousand, six hundred seventy-two".