73206807520 has 576 divisors, whose sum is σ = 229345966080. Its totient is φ = 21811507200.

The previous prime is 73206807463. The next prime is 73206807523. The reversal of 73206807520 is 2570860237.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73206807523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371608062 + ... + 371608258.

It is an arithmetic number, because the mean of its divisors is an integer number (398170080).

Almost surely, 2^73206807520 is an apocalyptic number.

73206807520 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 73206807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672983040).

73206807520 is an abundant number, since it is smaller than the sum of its proper divisors (156139158560).

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

73206807520 is a wasteful number, since it uses less digits than its factorization.

73206807520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 73206807520 in words is "seventy-three billion, two hundred six million, eight hundred seven thousand, five hundred twenty".