49832720 has 160 divisors (see below), whose sum is σ = 142705152. Its totient is φ = 15814656.

The previous prime is 49832711. The next prime is 49832723. The reversal of 49832720 is 2723894.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (49832723) 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 31 ways as a sum of consecutive naturals, for example, 682604 + ... + 682676.

Almost surely, 2^49832720 is an apocalyptic number.

49832720 is a gapful number since it is divisible by the number (40) 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 49832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71352576).

49832720 is an abundant number, since it is smaller than the sum of its proper divisors (92872432).

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

49832720 is a wasteful number, since it uses less digits than its factorization.

49832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 49832720 is about 7059.2294197030. The cubic root of 49832720 is about 367.9918476455.

The spelling of 49832720 in words is "forty-nine million, eight hundred thirty-two thousand, seven hundred twenty".