162772 has 6 divisors (see below), whose sum is σ = 284858. Its totient is φ = 81384.

The previous prime is 162751. The next prime is 162779. The reversal of 162772 is 277261.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 30276 = 364^2 + 174^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20343 + ... + 20350.

2¹⁶²⁷⁷² is an apocalyptic number.

It is an amenable number.

162772 is a deficient number, since it is larger than the sum of its proper divisors (122086).

162772 is a wasteful number, since it uses less digits than its factorization.

162772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40697 (or 40695 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 162772 is about 403.4501208328. The cubic root of 162772 is about 54.6000742439.

Subtracting from 162772 its product of digits (1176), we obtain a triangular number (161596 = T₅₆₈).

The spelling of 162772 in words is "one hundred sixty-two thousand, seven hundred seventy-two".