16772 has 12 divisors (see below), whose sum is σ = 33600. Its totient is φ = 7176.

The previous prime is 16763. The next prime is 16787. The reversal of 16772 is 27761.

It is a happy number.

16772 is nontrivially palindromic in base 8.

16772 is an admirable number.

It is a plaindrome in base 11.

It is a nialpdrome in base 7.

It is an unprimeable number.

16772 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, 272 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2¹⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

16772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (16800).

16772 is a wasteful number, since it uses less digits than its factorization.

16772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 16772 is about 129.5067565805. The cubic root of 16772 is about 25.5973467302.

The spelling of 16772 in words is "sixteen thousand, seven hundred seventy-two".