72721749120 has 256 divisors, whose sum is σ = 244420070400. Its totient is φ = 18340245504.

The previous prime is 72721749083. The next prime is 72721749127. The reversal of 72721749120 is 2194712727.

It is not an unprimeable number, because it can be changed into a prime (72721749127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27103299 + ... + 27105981.

It is an arithmetic number, because the mean of its divisors is an integer number (954765900).

Almost surely, 2^72721749120 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 72721749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122210035200).

72721749120 is an abundant number, since it is smaller than the sum of its proper divisors (171698321280).

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

72721749120 is a wasteful number, since it uses less digits than its factorization.

72721749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 72721749120 in words is "seventy-two billion, seven hundred twenty-one million, seven hundred forty-nine thousand, one hundred twenty".