72758910001200 has 120 divisors (see below), whose sum is σ = 233114327876928. Its totient is φ = 19398772573440.

The previous prime is 72758910001189. The next prime is 72758910001223. The reversal of 72758910001200 is 210001985727.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836739 + ... + 12092061.

Almost surely, 2^{72758910001200} is an apocalyptic number.

It is an amenable number.

72758910001200 is an abundant number, since it is smaller than the sum of its proper divisors (160355417875728).

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

72758910001200 is a wasteful number, since it uses less digits than its factorization.

72758910001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11260731 (or 11260720 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

Adding to 72758910001200 its reverse (210001985727), we get a palindrome (72968911986927).

The spelling of 72758910001200 in words is "seventy-two trillion, seven hundred fifty-eight billion, nine hundred ten million, one thousand, two hundred".