36781872 has 80 divisors (see below), whose sum is σ = 103326720. Its totient is φ = 11232000.

The previous prime is 36781859. The next prime is 36781907. The reversal of 36781872 is 27818763.

It is a super-2 number, since 2×36781872² = 2705812215648768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27622 + ... + 28922.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^36781872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36781872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

36781872 is an abundant number, since it is smaller than the sum of its proper divisors (66544848).

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

36781872 is a wasteful number, since it uses less digits than its factorization.

36781872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 36781872 is about 6064.8060150346. The cubic root of 36781872 is about 332.5660735144.

The spelling of 36781872 in words is "thirty-six million, seven hundred eighty-one thousand, eight hundred seventy-two".