72576009 has 48 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 39943680.

The previous prime is 72576001. The next prime is 72576041. The reversal of 72576009 is 90067527.

It is not a de Polignac number, because 72576009 - 2³ = 72576001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72576001) 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 47 ways as a sum of consecutive naturals, for example, 48064 + ... + 49550.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^72576009 is an apocalyptic number.

It is an amenable number.

72576009 is a deficient number, since it is larger than the sum of its proper divisors (52773111).

72576009 is a wasteful number, since it uses less digits than its factorization.

72576009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72576009 is about 8519.1554158848. The cubic root of 72576009 is about 417.1232146286.

It can be divided in two parts, 72 and 576009, that added together give a square (576081 = 759²).

The spelling of 72576009 in words is "seventy-two million, five hundred seventy-six thousand, nine".