36873672 has 64 divisors (see below), whose sum is σ = 101217600. Its totient is φ = 11101440.

The previous prime is 36873671. The next prime is 36873673. The reversal of 36873672 is 27637863.

It is an interprime number because it is at equal distance from previous prime (36873671) and next prime (36873673).

It is not an unprimeable number, because it can be changed into a prime (36873671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51654 + ... + 52362.

It is an arithmetic number, because the mean of its divisors is an integer number (1581525).

Almost surely, 2^36873672 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 36873672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50608800).

36873672 is an abundant number, since it is smaller than the sum of its proper divisors (64343928).

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

36873672 is a wasteful number, since it uses less digits than its factorization.

36873672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 36873672 is about 6072.3695539715. The cubic root of 36873672 is about 332.8425158716.

The spelling of 36873672 in words is "thirty-six million, eight hundred seventy-three thousand, six hundred seventy-two".