36772 has 12 divisors (see below), whose sum is σ = 66780. Its totient is φ = 17696.

The previous prime is 36767. The next prime is 36779. The reversal of 36772 is 27763.

36772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 27556 = 96^2 + 166^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (36779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (5565).

2³⁶⁷⁷² is an apocalyptic number.

36772 is the 103-rd centered heptagonal number.

It is an amenable number.

36772 is a deficient number, since it is larger than the sum of its proper divisors (30008).

36772 is a wasteful number, since it uses less digits than its factorization.

36772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 36772 is about 191.7602670002. The cubic root of 36772 is about 33.2536318041.

Subtracting from 36772 its reverse (27763), we obtain a palindrome (9009).

It can be divided in two parts, 36 and 772, that added together give a palindrome (808).

The spelling of 36772 in words is "thirty-six thousand, seven hundred seventy-two".