72967085 has 8 divisors (see below), whose sum is σ = 89696376. Its totient is φ = 56949760.

The previous prime is 72967079. The next prime is 72967091. The reversal of 72967085 is 58076927.

It is an interprime number because it is at equal distance from previous prime (72967079) and next prime (72967091).

It can be written as a sum of positive squares in 4 ways, for example, as 6853924 + 66113161 = 2618^2 + 8131^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-72967085 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 7 ways as a sum of consecutive naturals, for example, 177764 + ... + 178173.

It is an arithmetic number, because the mean of its divisors is an integer number (11212047).

Almost surely, 2^72967085 is an apocalyptic number.

It is an amenable number.

72967085 is a deficient number, since it is larger than the sum of its proper divisors (16729291).

72967085 is a wasteful number, since it uses less digits than its factorization.

72967085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355983.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 72967085 is about 8542.0773234618. The cubic root of 72967085 is about 417.8710960627.

The spelling of 72967085 in words is "seventy-two million, nine hundred sixty-seven thousand, eighty-five".