30772 has 18 divisors (see below), whose sum is σ = 63042. Its totient is φ = 13104.

The previous prime is 30763. The next prime is 30773. The reversal of 30772 is 27703.

30772 = T₈ + T₉ + ... + T₅₆.

30772 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 7056 = 154^2 + 84^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30773) by changing a digit.

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, 118 + ... + 274.

2³⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31521).

30772 is an abundant number, since it is smaller than the sum of its proper divisors (32270).

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

30772 is a wasteful number, since it uses less digits than its factorization.

30772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 30772 is about 175.4194972060. The cubic root of 30772 is about 31.3366024455.

The spelling of 30772 in words is "thirty thousand, seven hundred seventy-two".