72168485 has 16 divisors (see below), whose sum is σ = 92652336. Its totient is φ = 53772288.

The previous prime is 72168461. The next prime is 72168493. The reversal of 72168485 is 58486127.

It can be written as a sum of positive squares in 8 ways, for example, as 4813636 + 67354849 = 2194^2 + 8207^2 .

It is a cyclic number.

It is not a de Polignac number, because 72168485 - 2¹⁰ = 72167461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3869 + ... + 12621.

It is an arithmetic number, because the mean of its divisors is an integer number (5790771).

Almost surely, 2^72168485 is an apocalyptic number.

It is an amenable number.

72168485 is a deficient number, since it is larger than the sum of its proper divisors (20483851).

72168485 is a wasteful number, since it uses less digits than its factorization.

72168485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872.

The product of its digits is 107520, while the sum is 41.

The square root of 72168485 is about 8495.2036467644. The cubic root of 72168485 is about 416.3410145257.

The spelling of 72168485 in words is "seventy-two million, one hundred sixty-eight thousand, four hundred eighty-five".