36780672 has 32 divisors (see below), whose sum is σ = 97699680. Its totient is φ = 12260096.

The previous prime is 36780647. The next prime is 36780677. The reversal of 36780672 is 27608763.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 36780672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36780677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47508 + ... + 48275.

It is an arithmetic number, because the mean of its divisors is an integer number (3053115).

Almost surely, 2^36780672 is an apocalyptic number.

36780672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36780672 is an abundant number, since it is smaller than the sum of its proper divisors (60919008).

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

36780672 is an equidigital number, since it uses as much as digits as its factorization.

36780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95800 (or 95788 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 36780672 is about 6064.7070827864. The cubic root of 36780672 is about 332.5624568448.

The spelling of 36780672 in words is "thirty-six million, seven hundred eighty thousand, six hundred seventy-two".