72580144 has 80 divisors (see below), whose sum is σ = 175544320. Its totient is φ = 28304640.

The previous prime is 72580139. The next prime is 72580147. The reversal of 72580144 is 44108527.

It is not an unprimeable number, because it can be changed into a prime (72580147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114709 + ... + 115339.

It is an arithmetic number, because the mean of its divisors is an integer number (2194304).

Almost surely, 2^72580144 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 72580144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87772160).

72580144 is an abundant number, since it is smaller than the sum of its proper divisors (102964176).

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

72580144 is a wasteful number, since it uses less digits than its factorization.

72580144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 72580144 is about 8519.3981008050. The cubic root of 72580144 is about 417.1311363085.

The spelling of 72580144 in words is "seventy-two million, five hundred eighty thousand, one hundred forty-four".