72985 has 8 divisors (see below), whose sum is σ = 95616. Its totient is φ = 53040.

The previous prime is 72977. The next prime is 72997. The reversal of 72985 is 58927.

72985 = T₁₀ + T₁₁ + ... + T₇₅.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72985 - 2³ = 72977 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

72985 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (11952).

2⁷²⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

72985 is a deficient number, since it is larger than the sum of its proper divisors (22631).

72985 is a wasteful number, since it uses less digits than its factorization.

72985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343.

The product of its digits is 5040, while the sum is 31.

The square root of 72985 is about 270.1573615506. The cubic root of 72985 is about 41.7905292066.

It can be divided in two parts, 7 and 2985, that added together give a palindrome (2992).

The spelling of 72985 in words is "seventy-two thousand, nine hundred eighty-five".