49632672 has 48 divisors (see below), whose sum is σ = 131876640. Its totient is φ = 16342272.

The previous prime is 49632641. The next prime is 49632677. The reversal of 49632672 is 27623694.

49632672 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49632672.

It is not an unprimeable number, because it can be changed into a prime (49632677) 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 7 ways as a sum of consecutive naturals, for example, 4854 + ... + 11082.

It is an arithmetic number, because the mean of its divisors is an integer number (2747430).

Almost surely, 2^49632672 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 49632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65938320).

49632672 is an abundant number, since it is smaller than the sum of its proper divisors (82243968).

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

49632672 is a wasteful number, since it uses less digits than its factorization.

49632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6317 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 49632672 is about 7045.0459189419. The cubic root of 49632672 is about 367.4987662507.

The spelling of 49632672 in words is "forty-nine million, six hundred thirty-two thousand, six hundred seventy-two".