73130816 has 56 divisors (see below), whose sum is σ = 160593024. Its totient is φ = 32762880.

The previous prime is 73130789. The next prime is 73130851. The reversal of 73130816 is 61803137.

It is a super-3 number, since 3×73130816³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50681 + ... + 52103.

Almost surely, 2^73130816 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 73130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80296512).

73130816 is an abundant number, since it is smaller than the sum of its proper divisors (87462208).

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

73130816 is a wasteful number, since it uses less digits than its factorization.

73130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 73130816 is about 8551.6557461114. The cubic root of 73130816 is about 418.1834165259.

The spelling of 73130816 in words is "seventy-three million, one hundred thirty thousand, eight hundred sixteen".