72661446704200 has 24 divisors (see below), whose sum is σ = 168937863587730. Its totient is φ = 29064578681600.

The previous prime is 72661446704131. The next prime is 72661446704213. The reversal of 72661446704200 is 240764416627.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 69972522341764 + 2688924362436 = 8364958^2 + 1639794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181653616561 + ... + 181653616960.

Almost surely, 2^{72661446704200} is an apocalyptic number.

It is an amenable number.

72661446704200 is an abundant number, since it is smaller than the sum of its proper divisors (96276416883530).

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

72661446704200 is a wasteful number, since it uses less digits than its factorization.

72661446704200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363307233537 (or 363307233528 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 72661446704200 in words is "seventy-two trillion, six hundred sixty-one billion, four hundred forty-six million, seven hundred four thousand, two hundred".