36828072 has 48 divisors (see below), whose sum is σ = 101874240. Its totient is φ = 12013728.

The previous prime is 36828059. The next prime is 36828089. The reversal of 36828072 is 27082863.

It is a happy number.

36828072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058 + ... + 8825.

It is an arithmetic number, because the mean of its divisors is an integer number (2122380).

Almost surely, 2^36828072 is an apocalyptic number.

It is an amenable number.

36828072 is an abundant number, since it is smaller than the sum of its proper divisors (65046168).

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

36828072 is a wasteful number, since it uses less digits than its factorization.

36828072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36828072 is about 6068.6136802403. The cubic root of 36828072 is about 332.7052555203.

The spelling of 36828072 in words is "thirty-six million, eight hundred twenty-eight thousand, seventy-two".