49872 has 20 divisors (see below), whose sum is σ = 128960. Its totient is φ = 16608.

The previous prime is 49871. The next prime is 49877. The reversal of 49872 is 27894.

It is a d-powerful number, because it can be written as 4⁴ + 9 + 8⁵ + 7⁵ + 2⁵ .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 472 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2⁴⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

49872 is an abundant number, since it is smaller than the sum of its proper divisors (79088).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64480).

49872 is a wasteful number, since it uses less digits than its factorization.

49872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 49872 is about 223.3203976353. The cubic root of 49872 is about 36.8088510531.

The spelling of 49872 in words is "forty-nine thousand, eight hundred seventy-two".