47792 has 20 divisors (see below), whose sum is σ = 96720. Its totient is φ = 22848.

The previous prime is 47791. The next prime is 47797. The reversal of 47792 is 29774.

47792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (47791) 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, 413 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁴⁷⁷⁹² 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 47792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

47792 is an abundant number, since it is smaller than the sum of its proper divisors (48928).

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

47792 is a wasteful number, since it uses less digits than its factorization.

47792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 47792 is about 218.6138147510. The cubic root of 47792 is about 36.2898412531.

The spelling of 47792 in words is "forty-seven thousand, seven hundred ninety-two".