72580500 has 108 divisors (see below), whose sum is σ = 230784372. Its totient is φ = 19202400.

The previous prime is 72580499. The next prime is 72580507. The reversal of 72580500 is 508527.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 70257924 = 1524^2 + 8382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72580507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 571437 + ... + 571563.

Almost surely, 2^72580500 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 72580500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115392186).

72580500 is an abundant number, since it is smaller than the sum of its proper divisors (158203872).

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

72580500 is a wasteful number, since it uses less digits than its factorization.

72580500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 72580500 is about 8519.4189942742. The cubic root of 72580500 is about 417.1318183060.

It can be divided in two parts, 725 and 80500, that added together give a square (81225 = 285²).

The spelling of 72580500 in words is "seventy-two million, five hundred eighty thousand, five hundred".