72729979773 has 48 divisors (see below), whose sum is σ = 113246797440. Its totient is φ = 41408357760.

The previous prime is 72729979753. The next prime is 72729979783. The reversal of 72729979773 is 37797992727.

It is not a de Polignac number, because 72729979773 - 2⁵ = 72729979741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72729979698 and 72729979707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729979703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296136 + ... + 482862.

It is an arithmetic number, because the mean of its divisors is an integer number (2359308280).

Almost surely, 2^72729979773 is an apocalyptic number.

It is an amenable number.

72729979773 is a deficient number, since it is larger than the sum of its proper divisors (40516817667).

72729979773 is a wasteful number, since it uses less digits than its factorization.

72729979773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186818 (or 186807 counting only the distinct ones).

The product of its digits is 147027636, while the sum is 69.

The spelling of 72729979773 in words is "seventy-two billion, seven hundred twenty-nine million, nine hundred seventy-nine thousand, seven hundred seventy-three".