36167072 has 24 divisors (see below), whose sum is σ = 71864100. Its totient is φ = 17915904.

The previous prime is 36167057. The next prime is 36167077. The reversal of 36167072 is 27076163.

36167072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35093776 + 1073296 = 5924^2 + 1036^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36167077) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1697 + ... + 8672.

Almost surely, 2^36167072 is an apocalyptic number.

36167072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36167072 is a deficient number, since it is larger than the sum of its proper divisors (35697028).

36167072 is a wasteful number, since it uses less digits than its factorization.

36167072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 36167072 is about 6013.9065506541. The cubic root of 36167072 is about 330.7027326542.

Subtracting from 36167072 its reverse (27076163), we obtain a palindrome (9090909).

The spelling of 36167072 in words is "thirty-six million, one hundred sixty-seven thousand, seventy-two".