72085 has 8 divisors (see below), whose sum is σ = 93240. Its totient is φ = 53184.

The previous prime is 72077. The next prime is 72089. The reversal of 72085 is 58027.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 69169 = 54^2 + 263^2 .

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 72085 - 2³ = 72077 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72089) 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, 490 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2⁷²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

72085 is a deficient number, since it is larger than the sum of its proper divisors (21155).

72085 is a wasteful number, since it uses less digits than its factorization.

72085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72085 is about 268.4864987295. The cubic root of 72085 is about 41.6180410530.

The spelling of 72085 in words is "seventy-two thousand, eighty-five".