72813617 has 4 divisors (see below), whose sum is σ = 73277556. Its totient is φ = 72349680.

The previous prime is 72813547. The next prime is 72813619. The reversal of 72813617 is 71631827.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71631827 = 29 ⋅2470063.

It can be written as a sum of positive squares in 2 ways, for example, as 32160241 + 40653376 = 5671^2 + 6376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72813617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72813619) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 231734 + ... + 232047.

It is an arithmetic number, because the mean of its divisors is an integer number (18319389).

Almost surely, 2^72813617 is an apocalyptic number.

It is an amenable number.

72813617 is a deficient number, since it is larger than the sum of its proper divisors (463939).

72813617 is a wasteful number, since it uses less digits than its factorization.

72813617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463938.

The product of its digits is 14112, while the sum is 35.

The square root of 72813617 is about 8533.0895342777. The cubic root of 72813617 is about 417.5779280115.

The spelling of 72813617 in words is "seventy-two million, eight hundred thirteen thousand, six hundred seventeen".