73093840 has 40 divisors (see below), whose sum is σ = 171551520. Its totient is φ = 28960896.

The previous prime is 73093819. The next prime is 73093841. The reversal of 73093840 is 4839037.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 73093796 and 73093805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73093841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4291 + ... + 12829.

It is an arithmetic number, because the mean of its divisors is an integer number (4288788).

Almost surely, 2^73093840 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 73093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85775760).

73093840 is an abundant number, since it is smaller than the sum of its proper divisors (98457680).

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

73093840 is a wasteful number, since it uses less digits than its factorization.

73093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8653 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 73093840 is about 8549.4935522521. The cubic root of 73093840 is about 418.1129247795.

The spelling of 73093840 in words is "seventy-three million, ninety-three thousand, eight hundred forty".