36000072 has 32 divisors (see below), whose sum is σ = 100000800. Its totient is φ = 11999952.

The previous prime is 36000071. The next prime is 36000109. The reversal of 36000072 is 27000063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36000071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83118 + ... + 83549.

It is an arithmetic number, because the mean of its divisors is an integer number (3125025).

Almost surely, 2^36000072 is an apocalyptic number.

It is an amenable number.

36000072 is an abundant number, since it is smaller than the sum of its proper divisors (64000728).

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

36000072 is a wasteful number, since it uses less digits than its factorization.

36000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166682 (or 166672 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 36000072 is about 6000.0059999970. The cubic root of 36000072 is about 330.1929450178.

Subtracting from 36000072 its reverse (27000063), we obtain a palindrome (9000009).

The spelling of 36000072 in words is "thirty-six million, seventy-two", and thus it is an aban number and an uban number.