36843072 has 112 divisors (see below), whose sum is σ = 113141760. Its totient is φ = 10363392.

The previous prime is 36843061. The next prime is 36843073. The reversal of 36843072 is 27034863.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (36843073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106003 + ... + 106349.

Almost surely, 2^36843072 is an apocalyptic number.

36843072 is a gapful number since it is divisible by the number (32) 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 36843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56570880).

36843072 is an abundant number, since it is smaller than the sum of its proper divisors (76298688).

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

36843072 is a wasteful number, since it uses less digits than its factorization.

36843072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 36843072 is about 6069.8494215260. The cubic root of 36843072 is about 332.7504194506.

The spelling of 36843072 in words is "thirty-six million, eight hundred forty-three thousand, seventy-two".