72768005445 has 24 divisors (see below), whose sum is σ = 118958778144. Its totient is φ = 37983849376.

The previous prime is 72768005393. The next prime is 72768005449. The reversal of 72768005445 is 54450086727.

It is not a de Polignac number, because 72768005445 - 2¹² = 72768001349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72768005394 and 72768005403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72768005449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064919 + ... + 1131188.

It is an arithmetic number, because the mean of its divisors is an integer number (4956615756).

Almost surely, 2^72768005445 is an apocalyptic number.

It is an amenable number.

72768005445 is a deficient number, since it is larger than the sum of its proper divisors (46190772699).

72768005445 is a wasteful number, since it uses less digits than its factorization.

72768005445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196209 (or 2196162 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 72768005445 in words is "seventy-two billion, seven hundred sixty-eight million, five thousand, four hundred forty-five".