72889344 has 132 divisors (see below), whose sum is σ = 229919040. Its totient is φ = 22056960.

The previous prime is 72889331. The next prime is 72889351. The reversal of 72889344 is 44398827.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (387072) is a multiple of the sum of its prime factors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 72889344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101017 + ... + 101735.

Almost surely, 2^72889344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114959520).

72889344 is an abundant number, since it is smaller than the sum of its proper divisors (157029696).

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

72889344 is a wasteful number, since it uses less digits than its factorization.

72889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 735 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 72889344 is about 8537.5256368576. The cubic root of 72889344 is about 417.7226398067.

The spelling of 72889344 in words is "seventy-two million, eight hundred eighty-nine thousand, three hundred forty-four".