73312421720 has 256 divisors, whose sum is σ = 178845511680. Its totient is φ = 27004723200.

The previous prime is 73312421713. The next prime is 73312421723. The reversal of 73312421720 is 2712421337.

It is a super-2 number, since 2×73312421720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73312421723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304200800 + ... + 304201040.

It is an arithmetic number, because the mean of its divisors is an integer number (698615280).

Almost surely, 2^73312421720 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 73312421720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89422755840).

73312421720 is an abundant number, since it is smaller than the sum of its proper divisors (105533089960).

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

73312421720 is a wasteful number, since it uses less digits than its factorization.

73312421720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 73312421720 in words is "seventy-three billion, three hundred twelve million, four hundred twenty-one thousand, seven hundred twenty".