73162816 has 42 divisors (see below), whose sum is σ = 151839422. Its totient is φ = 34974720.

The previous prime is 73162813. The next prime is 73162829. The reversal of 73162816 is 61826137.

It can be written as a sum of positive squares in only one way, i.e., 65545216 + 7617600 = 8096^2 + 2760^2 .

It is not an unprimeable number, because it can be changed into a prime (73162813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32776 + ... + 34936.

Almost surely, 2^73162816 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 73162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75919711).

73162816 is an abundant number, since it is smaller than the sum of its proper divisors (78676606).

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

73162816 is a wasteful number, since it uses less digits than its factorization.

73162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2186 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 73162816 is about 8553.5265241887. The cubic root of 73162816 is about 418.2444027544.

The spelling of 73162816 in words is "seventy-three million, one hundred sixty-two thousand, eight hundred sixteen".