72966085 has 4 divisors (see below), whose sum is σ = 87559308. Its totient is φ = 58372864.

The previous prime is 72966079. The next prime is 72966133. The reversal of 72966085 is 58066927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 58066927 = 23 ⋅2524649.

It can be written as a sum of positive squares in 2 ways, for example, as 37527876 + 35438209 = 6126^2 + 5953^2 .

It is a cyclic number.

It is not a de Polignac number, because 72966085 - 2⁵ = 72966053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7296604 + ... + 7296613.

It is an arithmetic number, because the mean of its divisors is an integer number (21889827).

Almost surely, 2^72966085 is an apocalyptic number.

It is an amenable number.

72966085 is a deficient number, since it is larger than the sum of its proper divisors (14593223).

72966085 is a wasteful number, since it uses less digits than its factorization.

72966085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593222.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 72966085 is about 8542.0187894900. The cubic root of 72966085 is about 417.8691871061.

The spelling of 72966085 in words is "seventy-two million, nine hundred sixty-six thousand, eighty-five".