36756 has 18 divisors (see below), whose sum is σ = 93002. Its totient is φ = 12240.

The previous prime is 36749. The next prime is 36761. The reversal of 36756 is 65763.

36756 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 4356 = 180^2 + 66^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 475 + ... + 546.

2³⁶⁷⁵⁶ is an apocalyptic number.

36756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36756 is an abundant number, since it is smaller than the sum of its proper divisors (56246).

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

36756 is a wasteful number, since it uses less digits than its factorization.

36756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1026 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 36756 is about 191.7185437040. The cubic root of 36756 is about 33.2488080678.

The spelling of 36756 in words is "thirty-six thousand, seven hundred fifty-six".