72818009 has 8 divisors (see below), whose sum is σ = 81375840. Its totient is φ = 64583200.

The previous prime is 72818003. The next prime is 72818017. The reversal of 72818009 is 90081827.

It is a happy number.

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

It is not a de Polignac number, because 72818009 - 2²⁴ = 56040793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72818009.

It is not an unprimeable number, because it can be changed into a prime (72818003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80279 + ... + 81180.

It is an arithmetic number, because the mean of its divisors is an integer number (10171980).

Almost surely, 2^72818009 is an apocalyptic number.

It is an amenable number.

72818009 is a deficient number, since it is larger than the sum of its proper divisors (8557831).

72818009 is a wasteful number, since it uses less digits than its factorization.

72818009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161511.

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 72818009 is about 8533.3468814997. The cubic root of 72818009 is about 417.5863237185.

The spelling of 72818009 in words is "seventy-two million, eight hundred eighteen thousand, nine".