72888009 has 16 divisors (see below), whose sum is σ = 102588480. Its totient is φ = 45904320.

The previous prime is 72887999. The next prime is 72888017. The reversal of 72888009 is 90088827.

It is a happy number.

It is not a de Polignac number, because 72888009 - 2⁵ = 72887977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72888019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21019 + ... + 24239.

It is an arithmetic number, because the mean of its divisors is an integer number (6411780).

Almost surely, 2^72888009 is an apocalyptic number.

It is an amenable number.

72888009 is a deficient number, since it is larger than the sum of its proper divisors (29700471).

72888009 is a wasteful number, since it uses less digits than its factorization.

72888009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640.

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 72888009 is about 8537.4474522541. The cubic root of 72888009 is about 417.7200895340.

The spelling of 72888009 in words is "seventy-two million, eight hundred eighty-eight thousand, nine".