72085867 has 8 divisors (see below), whose sum is σ = 86720000. Its totient is φ = 58535784.

The previous prime is 72085861. The next prime is 72085901. The reversal of 72085867 is 76858027.

It is a happy number.

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 72085867 - 2¹¹ = 72083819 is a prime.

It is a super-2 number, since 2×72085867² = 10392744442283378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72085861) 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, 270867 + ... + 271132.

It is an arithmetic number, because the mean of its divisors is an integer number (10840000).

Almost surely, 2^72085867 is an apocalyptic number.

72085867 is a deficient number, since it is larger than the sum of its proper divisors (14634133).

72085867 is a wasteful number, since it uses less digits than its factorization.

72085867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542025.

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 72085867 is about 8490.3396280714. The cubic root of 72085867 is about 416.1820790559.

The spelling of 72085867 in words is "seventy-two million, eighty-five thousand, eight hundred sixty-seven".