72186113 has 8 divisors (see below), whose sum is σ = 72714600. Its totient is φ = 71660160.

The previous prime is 72186091. The next prime is 72186137. The reversal of 72186113 is 31168127.

It can be written as a sum of positive squares in 4 ways, for example, as 16056049 + 56130064 = 4007^2 + 7492^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72186113 - 2¹⁶ = 72120577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72186143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138293 + ... + 138813.

It is an arithmetic number, because the mean of its divisors is an integer number (9089325).

Almost surely, 2^72186113 is an apocalyptic number.

It is an amenable number.

72186113 is a deficient number, since it is larger than the sum of its proper divisors (528487).

72186113 is a wasteful number, since it uses less digits than its factorization.

72186113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267.

The product of its digits is 2016, while the sum is 29.

The square root of 72186113 is about 8496.2411100439. The cubic root of 72186113 is about 416.3749104935.

It can be divided in two parts, 7218 and 6113, that added together give a palindrome (13331).

The spelling of 72186113 in words is "seventy-two million, one hundred eighty-six thousand, one hundred thirteen".