73071805140 has 36 divisors (see below), whose sum is σ = 221651142804. Its totient is φ = 19485814656.

The previous prime is 73071805133. The next prime is 73071805171. The reversal of 73071805140 is 4150817037.

73071805140 is a `hidden beast` number, since 73 + 0 + 71 + 8 + 0 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12915413316 + 60156391824 = 113646^2 + 245268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 73071805095 and 73071805104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202977057 + ... + 202977416.

It is an arithmetic number, because the mean of its divisors is an integer number (6156976189).

Almost surely, 2^73071805140 is an apocalyptic number.

It is an amenable number.

73071805140 is an abundant number, since it is smaller than the sum of its proper divisors (148579337664).

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

73071805140 is a wasteful number, since it uses less digits than its factorization.

73071805140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405954488 (or 405954483 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 73071805140 in words is "seventy-three billion, seventy-one million, eight hundred five thousand, one hundred forty".