72680509 has 8 divisors (see below), whose sum is σ = 80074080. Its totient is φ = 65418000.

The previous prime is 72680501. The next prime is 72680521. The reversal of 72680509 is 90508627.

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 72680509 - 2³ = 72680501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72680501) 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 7 ways as a sum of consecutive naturals, for example, 31599 + ... + 33820.

It is an arithmetic number, because the mean of its divisors is an integer number (10009260).

Almost surely, 2^72680509 is an apocalyptic number.

It is an amenable number.

72680509 is a deficient number, since it is larger than the sum of its proper divisors (7393571).

72680509 is a wasteful number, since it uses less digits than its factorization.

72680509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65531.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 72680509 is about 8525.2864468005. The cubic root of 72680509 is about 417.3233196506.

The spelling of 72680509 in words is "seventy-two million, six hundred eighty thousand, five hundred nine".