73001456729280 has 448 divisors, whose sum is σ = 275682017088000. Its totient is φ = 18129886580736.

The previous prime is 73001456729251. The next prime is 73001456729347. The reversal of 73001456729280 is 8292765410037.

It is a happy number.

73001456729280 is a `hidden beast` number, since 7 + 30 + 0 + 1 + 4 + 567 + 29 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5916822 + ... + 13454058.

It is a 1-persistent number, because it is pandigital, but 2⋅73001456729280 = 146002913458560 is not.

Almost surely, 2^{73001456729280} 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 73001456729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137841008544000).

73001456729280 is an abundant number, since it is smaller than the sum of its proper divisors (202680560358720).

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

73001456729280 is a wasteful number, since it uses less digits than its factorization.

73001456729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537341 (or 7537325 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 73001456729280 in words is "seventy-three trillion, one billion, four hundred fifty-six million, seven hundred twenty-nine thousand, two hundred eighty".