47772 has 18 divisors (see below), whose sum is σ = 120848. Its totient is φ = 15912.

The previous prime is 47743. The next prime is 47777. The reversal of 47772 is 27774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47777) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 628 + ... + 699.

2⁴⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

47772 is an abundant number, since it is smaller than the sum of its proper divisors (73076).

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

47772 is a wasteful number, since it uses less digits than its factorization.

47772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1332 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 47772 is about 218.5680672010. The cubic root of 47772 is about 36.2847783549.

It can be divided in two parts, 4 and 7772, that added together give a 5-th power (7776 = 6⁵).

The spelling of 47772 in words is "forty-seven thousand, seven hundred seventy-two", and thus it is an iban number.