36672 has 28 divisors (see below), whose sum is σ = 97536. Its totient is φ = 12160.

The previous prime is 36671. The next prime is 36677. The reversal of 36672 is 27663.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36671) 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, 97 + ... + 287.

2³⁶⁶⁷² is an apocalyptic number.

36672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 191×192.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768).

36672 is an abundant number, since it is smaller than the sum of its proper divisors (60864).

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

36672 is a wasteful number, since it uses less digits than its factorization.

36672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 36672 is about 191.4993472574. The cubic root of 36672 is about 33.2234604587.

Subtracting from 36672 its reverse (27663), we obtain a palindrome (9009).

The spelling of 36672 in words is "thirty-six thousand, six hundred seventy-two".