36819872 has 48 divisors (see below), whose sum is σ = 79652160. Its totient is φ = 16676352.

The previous prime is 36819863. The next prime is 36819901. The reversal of 36819872 is 27891863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12668 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (1659420).

Almost surely, 2^36819872 is an apocalyptic number.

36819872 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 36819872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39826080).

36819872 is an abundant number, since it is smaller than the sum of its proper divisors (42832288).

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

36819872 is a wasteful number, since it uses less digits than its factorization.

36819872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2677 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 36819872 is about 6067.9380352802. The cubic root of 36819872 is about 332.6805607204.

The spelling of 36819872 in words is "thirty-six million, eight hundred nineteen thousand, eight hundred seventy-two".