47736 has 64 divisors (see below), whose sum is σ = 151200. Its totient is φ = 13824.

The previous prime is 47717. The next prime is 47737. The reversal of 47736 is 63774.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47737) by changing a digit.

47736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2800 + ... + 2816.

2⁴⁷⁷³⁶ 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 47736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

47736 is an abundant number, since it is smaller than the sum of its proper divisors (103464).

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

47736 is a wasteful number, since it uses less digits than its factorization.

47736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 35 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 47736 is about 218.4856974724. The cubic root of 47736 is about 36.2756615761.

The spelling of 47736 in words is "forty-seven thousand, seven hundred thirty-six".