36872 has 16 divisors (see below), whose sum is σ = 75600. Its totient is φ = 16720.

The previous prime is 36871. The next prime is 36877. The reversal of 36872 is 27863.

36872 = T₄₃ + T₄₄ + ... + T₆₆.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36872.

It is not an unprimeable number, because it can be changed into a prime (36871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2³⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

36872 is an abundant number, since it is smaller than the sum of its proper divisors (38728).

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 (37800).

36872 is a wasteful number, since it uses less digits than its factorization.

36872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 36872 is about 192.0208322032. The cubic root of 36872 is about 33.2837484991.

Subtracting from 36872 its reverse (27863), we obtain a palindrome (9009).

The spelling of 36872 in words is "thirty-six thousand, eight hundred seventy-two".