72559380 has 96 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 18741888.

The previous prime is 72559379. The next prime is 72559387. The reversal of 72559380 is 8395527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559387) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 364521 + ... + 364719.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^72559380 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 72559380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

72559380 is an abundant number, since it is smaller than the sum of its proper divisors (137104620).

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

72559380 is a wasteful number, since it uses less digits than its factorization.

72559380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 72559380 is about 8518.1793829433. The cubic root of 72559380 is about 417.0913543676.

The spelling of 72559380 in words is "seventy-two million, five hundred fifty-nine thousand, three hundred eighty".