49735872 has 84 divisors (see below), whose sum is σ = 144495520. Its totient is φ = 16353792.

The previous prime is 49735843. The next prime is 49735921. The reversal of 49735872 is 27853794.

49735872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 44958 + ... + 46050.

Almost surely, 2^49735872 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 49735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72247760).

49735872 is an abundant number, since it is smaller than the sum of its proper divisors (94759648).

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

49735872 is a wasteful number, since it uses less digits than its factorization.

49735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1177 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 49735872 is about 7052.3664113544. The cubic root of 49735872 is about 367.7533003130.

The spelling of 49735872 in words is "forty-nine million, seven hundred thirty-five thousand, eight hundred seventy-two".