72728381124 has 81 divisors (see below), whose sum is σ = 213889383981. Its totient is φ = 20776301280.

The previous prime is 72728381113. The next prime is 72728381137. The reversal of 72728381124 is 42118382727.

The square root of 72728381124 is 269682.

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

It can be written as a sum of positive squares in only one way, i.e., 20140718724 + 52587662400 = 141918^2 + 229320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72728381124.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11323434 + ... + 11329854.

Almost surely, 2^72728381124 is an apocalyptic number.

72728381124 is the 269682-nd square number.

It is an amenable number.

72728381124 is an abundant number, since it is smaller than the sum of its proper divisors (141161002857).

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

72728381124 is an equidigital number, since it uses as much as digits as its factorization.

72728381124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12866 (or 6433 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 72728381124 in words is "seventy-two billion, seven hundred twenty-eight million, three hundred eighty-one thousand, one hundred twenty-four".