73302071040 has 540 divisors, whose sum is σ = 288349610472. Its totient is φ = 17767157760.

The previous prime is 73302071039. The next prime is 73302071053. The reversal of 73302071040 is 4017020337.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73302070995 and 73302071013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12542359 + ... + 12548201.

Almost surely, 2^73302071040 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 73302071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144174805236).

73302071040 is an abundant number, since it is smaller than the sum of its proper divisors (215047539432).

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

73302071040 is a wasteful number, since it uses less digits than its factorization.

73302071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

Adding to 73302071040 its reverse (4017020337), we get a palindrome (77319091377).

The spelling of 73302071040 in words is "seventy-three billion, three hundred two million, seventy-one thousand, forty".