72800368044400 has 60 divisors (see below), whose sum is σ = 177366305200464. Its totient is φ = 28710004288000.

The previous prime is 72800368044389. The next prime is 72800368044403. The reversal of 72800368044400 is 444086300827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800368044403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281668221 + ... + 1281725020.

Almost surely, 2^{72800368044400} is an apocalyptic number.

It is an amenable number.

72800368044400 is an abundant number, since it is smaller than the sum of its proper divisors (104565937156064).

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

72800368044400 is a wasteful number, since it uses less digits than its factorization.

72800368044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563393330 (or 2563393319 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 72800368044400 in words is "seventy-two trillion, eight hundred billion, three hundred sixty-eight million, forty-four thousand, four hundred".