73580496 has 160 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 20782080.

The previous prime is 73580491. The next prime is 73580501. The reversal of 73580496 is 69408537.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73580491) and next prime (73580501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73580491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886471 + ... + 886553.

Almost surely, 2^73580496 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 73580496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

73580496 is an abundant number, since it is smaller than the sum of its proper divisors (148405296).

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

73580496 is a wasteful number, since it uses less digits than its factorization.

73580496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 73580496 is about 8577.9074371317. The cubic root of 73580496 is about 419.0387996340.

The spelling of 73580496 in words is "seventy-three million, five hundred eighty thousand, four hundred ninety-six".