48736 has 12 divisors (see below), whose sum is σ = 96012. Its totient is φ = 24352.

The previous prime is 48733. The next prime is 48751. The reversal of 48736 is 63784.

48736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 730 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

2⁴⁸⁷³⁶ is an apocalyptic number.

It is an amenable number.

48736 is a deficient number, since it is larger than the sum of its proper divisors (47276).

48736 is a wasteful number, since it uses less digits than its factorization.

48736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 48736 is about 220.7623156247. The cubic root of 48736 is about 36.5272205779.

It can be divided in two parts, 48 and 736, that added together give a square (784 = 28²).

The spelling of 48736 in words is "forty-eight thousand, seven hundred thirty-six".