73434816 has 224 divisors, whose sum is σ = 266273280. Its totient is φ = 19325952.

The previous prime is 73434811. The next prime is 73434817. The reversal of 73434816 is 61843437.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73434811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157015 + ... + 157481.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^73434816 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 73434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

73434816 is an abundant number, since it is smaller than the sum of its proper divisors (192838464).

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

73434816 is a wasteful number, since it uses less digits than its factorization.

73434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 73434816 is about 8569.4116484155. The cubic root of 73434816 is about 418.7620691257.

The spelling of 73434816 in words is "seventy-three million, four hundred thirty-four thousand, eight hundred sixteen".