73406080 has 64 divisors (see below), whose sum is σ = 191458080. Its totient is φ = 26690560.

The previous prime is 73406029. The next prime is 73406147. The reversal of 73406080 is 8060437.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1827 + ... + 12253.

Almost surely, 2^73406080 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 73406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95729040).

73406080 is an abundant number, since it is smaller than the sum of its proper divisors (118052000).

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

73406080 is a wasteful number, since it uses less digits than its factorization.

73406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 73406080 is about 8567.7348231607. The cubic root of 73406080 is about 418.7074396486.

The spelling of 73406080 in words is "seventy-three million, four hundred six thousand, eighty".