50772 has 12 divisors (see below), whose sum is σ = 118496. Its totient is φ = 16920.

The previous prime is 50767. The next prime is 50773. The reversal of 50772 is 27705.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50773) by changing a digit.

50772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2104 + ... + 2127.

2⁵⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

50772 is an abundant number, since it is smaller than the sum of its proper divisors (67724).

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 (59248).

50772 is a wasteful number, since it uses less digits than its factorization.

50772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 50772 is about 225.3264298745. The cubic root of 50772 is about 37.0289522600.

The spelling of 50772 in words is "fifty thousand, seven hundred seventy-two".