73805040 has 160 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 19236096.

The previous prime is 73805033. The next prime is 73805077. The reversal of 73805040 is 4050837.

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 = 73804995 and 73805013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101157 + ... + 101883.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^73805040 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 73805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

73805040 is an abundant number, since it is smaller than the sum of its proper divisors (186178320).

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

73805040 is a wasteful number, since it uses less digits than its factorization.

73805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73805040 is about 8590.9859736819. The cubic root of 73805040 is about 419.4646239660.

Adding to 73805040 its reverse (4050837), we get a palindrome (77855877).

The spelling of 73805040 in words is "seventy-three million, eight hundred five thousand, forty".