72085187 has 8 divisors (see below), whose sum is σ = 72633792. Its totient is φ = 71539200.

The previous prime is 72085147. The next prime is 72085193. The reversal of 72085187 is 78158027.

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 72085187 - 2⁸ = 72084931 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72085187.

It is not an unprimeable number, because it can be changed into a prime (72085127) 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, 124643 + ... + 125219.

It is an arithmetic number, because the mean of its divisors is an integer number (9079224).

Almost surely, 2^72085187 is an apocalyptic number.

72085187 is a deficient number, since it is larger than the sum of its proper divisors (548605).

72085187 is a wasteful number, since it uses less digits than its factorization.

72085187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 72085187 is about 8490.2995824647. The cubic root of 72085187 is about 416.1807704096.

The spelling of 72085187 in words is "seventy-two million, eighty-five thousand, one hundred eighty-seven".