72386085 has 32 divisors (see below), whose sum is σ = 126600192. Its totient is φ = 35159040.

The previous prime is 72386081. The next prime is 72386087. The reversal of 72386085 is 58068327.

It is not a de Polignac number, because 72386085 - 2² = 72386081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72386081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3327 + ... + 12483.

It is an arithmetic number, because the mean of its divisors is an integer number (3956256).

Almost surely, 2^72386085 is an apocalyptic number.

It is an amenable number.

72386085 is a deficient number, since it is larger than the sum of its proper divisors (54214107).

72386085 is a wasteful number, since it uses less digits than its factorization.

72386085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72386085 is about 8508.0012341325. The cubic root of 72386085 is about 416.7590404972.

The spelling of 72386085 in words is "seventy-two million, three hundred eighty-six thousand, eighty-five".