73001295360 has 800 divisors, whose sum is σ = 314666288640. Its totient is φ = 15801827328.

The previous prime is 73001295313. The next prime is 73001295361. The reversal of 73001295360 is 6359210037.

73001295360 is a `hidden beast` number, since 7 + 3 + 0 + 0 + 1 + 295 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73001295361) 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 79 ways as a sum of consecutive naturals, for example, 27577557 + ... + 27580203.

Almost surely, 2^73001295360 is an apocalyptic number.

73001295360 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 73001295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157333144320).

73001295360 is an abundant number, since it is smaller than the sum of its proper divisors (241664993280).

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

73001295360 is a wasteful number, since it uses less digits than its factorization.

73001295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 73001295360 in words is "seventy-three billion, one million, two hundred ninety-five thousand, three hundred sixty".