72593144 has 32 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 33168000.

The previous prime is 72593141. The next prime is 72593153. The reversal of 72593144 is 44139527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72593141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7049 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^72593144 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 72593144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

72593144 is an abundant number, since it is smaller than the sum of its proper divisors (75461896).

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

72593144 is a wasteful number, since it uses less digits than its factorization.

72593144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7027 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 72593144 is about 8520.1610313421. The cubic root of 72593144 is about 417.1560392675.

The spelling of 72593144 in words is "seventy-two million, five hundred ninety-three thousand, one hundred forty-four".