73726398720 has 576 divisors, whose sum is σ = 283710470400. Its totient is φ = 18129346560.

The previous prime is 73726398709. The next prime is 73726398827. The reversal of 73726398720 is 2789362737.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75927835 + ... + 75928805.

It is an arithmetic number, because the mean of its divisors is an integer number (492552900).

Almost surely, 2^73726398720 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 73726398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141855235200).

73726398720 is an abundant number, since it is smaller than the sum of its proper divisors (209984071680).

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

73726398720 is an equidigital number, since it uses as much as digits as its factorization.

73726398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 73726398720 in words is "seventy-three billion, seven hundred twenty-six million, three hundred ninety-eight thousand, seven hundred twenty".