72767403072 has 336 divisors, whose sum is σ = 259971479040. Its totient is φ = 18947395584.

The previous prime is 72767403019. The next prime is 72767403077. The reversal of 72767403072 is 27030476727.

72767403072 is a `hidden beast` number, since 7 + 276 + 74 + 0 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (72767403077) 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, 4132078 + ... + 4149650.

It is an arithmetic number, because the mean of its divisors is an integer number (773724640).

Almost surely, 2^72767403072 is an apocalyptic number.

72767403072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72767403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129985739520).

72767403072 is an abundant number, since it is smaller than the sum of its proper divisors (187204075968).

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

72767403072 is a wasteful number, since it uses less digits than its factorization.

72767403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17690 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

Adding to 72767403072 its reverse (27030476727), we get a palindrome (99797879799).

The spelling of 72767403072 in words is "seventy-two billion, seven hundred sixty-seven million, four hundred three thousand, seventy-two".