36882720 has 144 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 8428032.

The previous prime is 36882701. The next prime is 36882721. The reversal of 36882720 is 2728863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36882721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8251 + ... + 11909.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^36882720 is an apocalyptic number.

36882720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

36882720 is an abundant number, since it is smaller than the sum of its proper divisors (106999200).

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

36882720 is a wasteful number, since it uses less digits than its factorization.

36882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36882720 is about 6073.1145222200. The cubic root of 36882720 is about 332.8697377586.

The spelling of 36882720 in words is "thirty-six million, eight hundred eighty-two thousand, seven hundred twenty".