72711985 has 8 divisors (see below), whose sum is σ = 87403176. Its totient is φ = 58070400.

The previous prime is 72711979. The next prime is 72712001. The reversal of 72711985 is 58911727.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 63250209 = 3076^2 + 7953^2 .

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

It is not a de Polignac number, because 72711985 - 2⁵ = 72711953 is a prime.

It is a Duffinian 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, 9094 + ... + 15103.

It is an arithmetic number, because the mean of its divisors is an integer number (10925397).

Almost surely, 2^72711985 is an apocalyptic number.

It is an amenable number.

72711985 is a deficient number, since it is larger than the sum of its proper divisors (14691191).

72711985 is a wasteful number, since it uses less digits than its factorization.

72711985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24803.

The product of its digits is 35280, while the sum is 40.

The square root of 72711985 is about 8527.1322846547. The cubic root of 72711985 is about 417.3835548416.

The spelling of 72711985 in words is "seventy-two million, seven hundred eleven thousand, nine hundred eighty-five".