72616101200 has 60 divisors (see below), whose sum is σ = 176258835900. Its totient is φ = 28746977280.

The previous prime is 72616101127. The next prime is 72616101227. The reversal of 72616101200 is 210161627.

It can be written as a sum of positive squares in 6 ways, for example, as 7965919504 + 64650181696 = 89252^2 + 254264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72616101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 896975 + ... + 974574.

It is an arithmetic number, because the mean of its divisors is an integer number (2937647265).

Almost surely, 2^72616101200 is an apocalyptic number.

It is an amenable number.

72616101200 is an abundant number, since it is smaller than the sum of its proper divisors (103642734700).

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

72616101200 is a wasteful number, since it uses less digits than its factorization.

72616101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871664 (or 1871653 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 72616101200 its reverse (210161627), we get a palindrome (72826262827).

The spelling of 72616101200 in words is "seventy-two billion, six hundred sixteen million, one hundred one thousand, two hundred".