72927002500 has 135 divisors (see below), whose sum is σ = 175650385603. Its totient is φ = 26464900000.

The previous prime is 72927002483. The next prime is 72927002503. The reversal of 72927002500 is 520072927.

The square root of 72927002500 is 270050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5717476996 + 67209525504 = 75614^2 + 259248^2 .

It is not an unprimeable number, because it can be changed into a prime (72927002503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148527255 + ... + 148527745.

Almost surely, 2^72927002500 is an apocalyptic number.

72927002500 is the 270050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72927002500

72927002500 is an abundant number, since it is smaller than the sum of its proper divisors (102723383103).

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

72927002500 is an equidigital number, since it uses as much as digits as its factorization.

72927002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 72927002500 in words is "seventy-two billion, nine hundred twenty-seven million, two thousand, five hundred".