72889768 has 16 divisors (see below), whose sum is σ = 156192480. Its totient is φ = 31238448.

The previous prime is 72889709. The next prime is 72889771. The reversal of 72889768 is 86798827.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 650746 + ... + 650857.

It is an arithmetic number, because the mean of its divisors is an integer number (9762030).

Almost surely, 2^72889768 is an apocalyptic number.

It is an amenable number.

72889768 is an abundant number, since it is smaller than the sum of its proper divisors (83302712).

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

72889768 is a wasteful number, since it uses less digits than its factorization.

72889768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301616 (or 1301612 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

The square root of 72889768 is about 8537.5504683721. The cubic root of 72889768 is about 417.7234497745.

The spelling of 72889768 in words is "seventy-two million, eight hundred eighty-nine thousand, seven hundred sixty-eight".