72583130500 has 24 divisors (see below), whose sum is σ = 158521558104. Its totient is φ = 29033252000.

The previous prime is 72583130491. The next prime is 72583130527. The reversal of 72583130500 is 503138527.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 72519258436 = 7992^2 + 269294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72582631 + ... + 72583630.

It is an arithmetic number, because the mean of its divisors is an integer number (6605064921).

Almost surely, 2^72583130500 is an apocalyptic number.

It is an amenable number.

72583130500 is an abundant number, since it is smaller than the sum of its proper divisors (85938427604).

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

72583130500 is a wasteful number, since it uses less digits than its factorization.

72583130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145166280 (or 145166268 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 72583130500 in words is "seventy-two billion, five hundred eighty-three million, one hundred thirty thousand, five hundred".