72050013577773 has 128 divisors (see below), whose sum is σ = 137704322764800. Its totient is φ = 36147376742400.

The previous prime is 72050013577769. The next prime is 72050013577807. The reversal of 72050013577773 is 37777531005027.

72050013577773 is a `hidden beast` number, since 7 + 2 + 0 + 50 + 0 + 13 + 577 + 7 + 7 + 3 = 666.

It is not a de Polignac number, because 72050013577773 - 2² = 72050013577769 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72050013577273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3428493 + ... + 12484173.

It is an arithmetic number, because the mean of its divisors is an integer number (1075815021600).

Almost surely, 2^{72050013577773} is an apocalyptic number.

It is an amenable number.

72050013577773 is a deficient number, since it is larger than the sum of its proper divisors (65654309187027).

72050013577773 is a wasteful number, since it uses less digits than its factorization.

72050013577773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055840 (or 9055834 counting only the distinct ones).

The product of its (nonzero) digits is 7563150, while the sum is 54.

The spelling of 72050013577773 in words is "seventy-two trillion, fifty billion, thirteen million, five hundred seventy-seven thousand, seven hundred seventy-three".