48772 has 12 divisors (see below), whose sum is σ = 86940. Its totient is φ = 23936.

The previous prime is 48767. The next prime is 48779. The reversal of 48772 is 27784.

48772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 30276 = 136^2 + 174^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48772.

It is not an unprimeable number, because it can be changed into a prime (48779) by changing a digit.

48772 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 3 ways as a sum of consecutive naturals, for example, 288 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

2⁴⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

48772 is a deficient number, since it is larger than the sum of its proper divisors (38168).

48772 is a wasteful number, since it uses less digits than its factorization.

48772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 48772 is about 220.8438362282. The cubic root of 48772 is about 36.5362122630.

It can be divided in two parts, 48 and 772, that added together give a triangular number (820 = T₄₀).

The spelling of 48772 in words is "forty-eight thousand, seven hundred seventy-two".