72591344 has 60 divisors (see below), whose sum is σ = 166790664. Its totient is φ = 30506112.

The previous prime is 72591329. The next prime is 72591347. The reversal of 72591344 is 44319527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72591347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40679 + ... + 42425.

Almost surely, 2^72591344 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 72591344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83395332).

72591344 is an abundant number, since it is smaller than the sum of its proper divisors (94199320).

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

72591344 is a wasteful number, since it uses less digits than its factorization.

72591344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1809 counting only the distinct ones).

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

The square root of 72591344 is about 8520.0553988809. The cubic root of 72591344 is about 417.1525913428.

The spelling of 72591344 in words is "seventy-two million, five hundred ninety-one thousand, three hundred forty-four".