73080726745752 has 336 divisors, whose sum is σ = 225967498840440. Its totient is φ = 22131242496000.

The previous prime is 73080726745751. The next prime is 73080726745799. The reversal of 73080726745752 is 25754762708037.

It is a happy number.

73080726745752 is a `hidden beast` number, since 7 + 3 + 0 + 8 + 0 + 72 + 67 + 457 + 52 = 666.

73080726745752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 73080726745752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73080726745751) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1108577752 + ... + 1108643672.

Almost surely, 2^{73080726745752} is an apocalyptic number.

73080726745752 is a gapful number since it is divisible by the number (72) 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 73080726745752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112983749420220).

73080726745752 is an abundant number, since it is smaller than the sum of its proper divisors (152886772094688).

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

73080726745752 is a wasteful number, since it uses less digits than its factorization.

73080726745752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67538 (or 67508 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 73080726745752 in words is "seventy-three trillion, eighty billion, seven hundred twenty-six million, seven hundred forty-five thousand, seven hundred fifty-two".