72589440 has 256 divisors, whose sum is σ = 289059840. Its totient is φ = 15052800.

The previous prime is 72589397. The next prime is 72589453. The reversal of 72589440 is 4498527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147595 + ... + 148085.

It is an arithmetic number, because the mean of its divisors is an integer number (1129140).

Almost surely, 2^72589440 is an apocalyptic number.

72589440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

72589440 is an abundant number, since it is smaller than the sum of its proper divisors (216470400).

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

72589440 is a wasteful number, since it uses less digits than its factorization.

72589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72589440 is about 8519.9436617856. The cubic root of 72589440 is about 417.1489441427.

The spelling of 72589440 in words is "seventy-two million, five hundred eighty-nine thousand, four hundred forty".