73001280 has 224 divisors, whose sum is σ = 262176768. Its totient is φ = 17049600.

The previous prime is 73001273. The next prime is 73001309. The reversal of 73001280 is 8210037.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327249 + ... + 327471.

It is an arithmetic number, because the mean of its divisors is an integer number (1170432).

Almost surely, 2^73001280 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 73001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131088384).

73001280 is an abundant number, since it is smaller than the sum of its proper divisors (189175488).

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

73001280 is a wasteful number, since it uses less digits than its factorization.

73001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 73001280 is about 8544.0786513234. The cubic root of 73001280 is about 417.9363623426.

The spelling of 73001280 in words is "seventy-three million, one thousand, two hundred eighty".