36876672 has 192 divisors, whose sum is σ = 128887200. Its totient is φ = 9879552.

The previous prime is 36876643. The next prime is 36876683. The reversal of 36876672 is 27667863.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136954 + ... + 137222.

Almost surely, 2^36876672 is an apocalyptic number.

36876672 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 36876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

36876672 is an abundant number, since it is smaller than the sum of its proper divisors (92010528).

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

36876672 is a wasteful number, since it uses less digits than its factorization.

36876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 36876672 is about 6072.6165694863. The cubic root of 36876672 is about 332.8515421896.

The spelling of 36876672 in words is "thirty-six million, eight hundred seventy-six thousand, six hundred seventy-two".