72009688 has 32 divisors (see below), whose sum is σ = 149182560. Its totient is φ = 32412160.

The previous prime is 72009661. The next prime is 72009689. The reversal of 72009688 is 88690027.

It is a self number, because there is not a number n which added to its sum of digits gives 72009688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72009689) 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, 8383 + ... + 14638.

It is an arithmetic number, because the mean of its divisors is an integer number (4661955).

Almost surely, 2^72009688 is an apocalyptic number.

It is an amenable number.

72009688 is an abundant number, since it is smaller than the sum of its proper divisors (77172872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72009688 is a wasteful number, since it uses less digits than its factorization.

72009688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23067 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 72009688 is about 8485.8522259111. The cubic root of 72009688 is about 416.0354228958.

The spelling of 72009688 in words is "seventy-two million, nine thousand, six hundred eighty-eight".