72581120 has 64 divisors (see below), whose sum is σ = 174585240. Its totient is φ = 28966912.

The previous prime is 72581063. The next prime is 72581141. The reversal of 72581120 is 2118527.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72581120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163619 + ... + 164061.

Almost surely, 2^72581120 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 72581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87292620).

72581120 is an abundant number, since it is smaller than the sum of its proper divisors (102004120).

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

72581120 is an frugal number, since it uses more digits than its factorization.

72581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 72581120 is about 8519.4553816544. The cubic root of 72581120 is about 417.1330060493.

Adding to 72581120 its reverse (2118527), we get a palindrome (74699647).

The spelling of 72581120 in words is "seventy-two million, five hundred eighty-one thousand, one hundred twenty".