72312588100 has 27 divisors (see below), whose sum is σ = 156924151741. Its totient is φ = 28923959600.

The previous prime is 72312588071. The next prime is 72312588121. The reversal of 72312588100 is 188521327.

The square root of 72312588100 is 268910.

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., 26032531716 + 46280056384 = 161346^2 + 215128^2 .

It is a super-2 number, since 2×72312588100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72312588100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2675655 + ... + 2702545.

Almost surely, 2^72312588100 is an apocalyptic number.

72312588100 is the 268910-th square number.

It is an amenable number.

72312588100 is an abundant number, since it is smaller than the sum of its proper divisors (84611563641).

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

72312588100 is an frugal number, since it uses more digits than its factorization.

72312588100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53796 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 72312588100 in words is "seventy-two billion, three hundred twelve million, five hundred eighty-eight thousand, one hundred".