72736009 has 8 divisors (see below), whose sum is σ = 78432480. Its totient is φ = 67226400.

The previous prime is 72735997. The next prime is 72736039. The reversal of 72736009 is 90063727.

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 72736009 - 2⁷ = 72735881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72736039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45907 + ... + 47464.

It is an arithmetic number, because the mean of its divisors is an integer number (9804060).

Almost surely, 2^72736009 is an apocalyptic number.

It is an amenable number.

72736009 is a deficient number, since it is larger than the sum of its proper divisors (5696471).

72736009 is a wasteful number, since it uses less digits than its factorization.

72736009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93431.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 72736009 is about 8528.5408482342. The cubic root of 72736009 is about 417.4295175459.

The spelling of 72736009 in words is "seventy-two million, seven hundred thirty-six thousand, nine".