73042816 has 64 divisors (see below), whose sum is σ = 181445760. Its totient is φ = 28454400.

The previous prime is 73042811. The next prime is 73042819. The reversal of 73042816 is 61824037.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73042811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6151 + ... + 13561.

It is an arithmetic number, because the mean of its divisors is an integer number (2835090).

Almost surely, 2^73042816 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 73042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90722880).

73042816 is an abundant number, since it is smaller than the sum of its proper divisors (108402944).

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

73042816 is a wasteful number, since it uses less digits than its factorization.

73042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 73042816 is about 8546.5089949055. The cubic root of 73042816 is about 418.0156126125.

The spelling of 73042816 in words is "seventy-three million, forty-two thousand, eight hundred sixteen".