29772 has 18 divisors (see below), whose sum is σ = 75348. Its totient is φ = 9912.

The previous prime is 29761. The next prime is 29789. The reversal of 29772 is 27792.

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

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 an Ulam number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 378 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (4186).

2²⁹⁷⁷² is an apocalyptic number.

It is an amenable number.

29772 is an abundant number, since it is smaller than the sum of its proper divisors (45576).

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

29772 is a wasteful number, since it uses less digits than its factorization.

29772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 29772 is about 172.5456461346. The cubic root of 29772 is about 30.9934082412.

The spelling of 29772 in words is "twenty-nine thousand, seven hundred seventy-two".