73195680 has 96 divisors (see below), whose sum is σ = 232848000. Its totient is φ = 19325952.

The previous prime is 73195679. The next prime is 73195687. The reversal of 73195680 is 8659137.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (73195687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51621 + ... + 53019.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^73195680 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 73195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424000).

73195680 is an abundant number, since it is smaller than the sum of its proper divisors (159652320).

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

73195680 is a wasteful number, since it uses less digits than its factorization.

73195680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 73195680 is about 8555.4473874836. The cubic root of 73195680 is about 418.3070171044.

The spelling of 73195680 in words is "seventy-three million, one hundred ninety-five thousand, six hundred eighty".