72747422720 has 528 divisors, whose sum is σ = 221228984592. Its totient is φ = 22790799360.

The previous prime is 72747422719. The next prime is 72747422777. The reversal of 72747422720 is 2722474727.

It can be written as a sum of positive squares in 8 ways, for example, as 3237154816 + 69510267904 = 56896^2 + 263648^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 157803290 + ... + 157803750.

It is an arithmetic number, because the mean of its divisors is an integer number (418994289).

Almost surely, 2^72747422720 is an apocalyptic number.

72747422720 is a gapful number since it is divisible by the number (70) 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 72747422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110614492296).

72747422720 is an abundant number, since it is smaller than the sum of its proper divisors (148481561872).

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

72747422720 is a wasteful number, since it uses less digits than its factorization.

72747422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 44.

The spelling of 72747422720 in words is "seventy-two billion, seven hundred forty-seven million, four hundred twenty-two thousand, seven hundred twenty".