73210662720 has 672 divisors, whose sum is σ = 285528166560. Its totient is φ = 17093099520.

The previous prime is 73210662713. The next prime is 73210662793. The reversal of 73210662720 is 2726601237.

It is a happy number.

73210662720 is a `hidden beast` number, since 7 + 3 + 2 + 1 + 0 + 6 + 627 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19705421376 + 53505241344 = 140376^2 + 231312^2 .

It is a super-2 number, since 2×73210662720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56795836 + ... + 56797124.

It is an arithmetic number, because the mean of its divisors is an integer number (424893105).

Almost surely, 2^73210662720 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 73210662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142764083280).

73210662720 is an abundant number, since it is smaller than the sum of its proper divisors (212317503840).

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

73210662720 is a wasteful number, since it uses less digits than its factorization.

73210662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 73210662720 in words is "seventy-three billion, two hundred ten million, six hundred sixty-two thousand, seven hundred twenty".