72748127872 has 64 divisors (see below), whose sum is σ = 165804459840. Its totient is φ = 31145287680.

The previous prime is 72748127869. The next prime is 72748127873. The reversal of 72748127872 is 27872184727.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72748127873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828208 + ... + 911824.

It is an arithmetic number, because the mean of its divisors is an integer number (2590694685).

Almost surely, 2^72748127872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72748127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82902229920).

72748127872 is an abundant number, since it is smaller than the sum of its proper divisors (93056331968).

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

72748127872 is an equidigital number, since it uses as much as digits as its factorization.

72748127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84609 (or 84597 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 55.

The spelling of 72748127872 in words is "seventy-two billion, seven hundred forty-eight million, one hundred twenty-seven thousand, eight hundred seventy-two".