72685985 has 8 divisors (see below), whose sum is σ = 87275880. Its totient is φ = 58113664.

The previous prime is 72685961. The next prime is 72685997. The reversal of 72685985 is 58958627.

It can be written as a sum of positive squares in 4 ways, for example, as 44849809 + 27836176 = 6697^2 + 5276^2 .

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 72685985 - 2⁸ = 72685729 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7781 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (10909485).

Almost surely, 2^72685985 is an apocalyptic number.

It is an amenable number.

72685985 is a deficient number, since it is larger than the sum of its proper divisors (14589895).

72685985 is a wasteful number, since it uses less digits than its factorization.

72685985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787.

The product of its digits is 1209600, while the sum is 50.

The square root of 72685985 is about 8525.6076029806. The cubic root of 72685985 is about 417.3338002464. Note that the first 3 decimals are identical.

The spelling of 72685985 in words is "seventy-two million, six hundred eighty-five thousand, nine hundred eighty-five".