73066624 has 32 divisors (see below), whose sum is σ = 146925900. Its totient is φ = 36191232.

The previous prime is 73066583. The next prime is 73066627. The reversal of 73066624 is 42666037.

73066624 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 66716224 + 6350400 = 8168^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 73066624.

It is not an unprimeable number, because it can be changed into a prime (73066627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11334 + ... + 16570.

Almost surely, 2^73066624 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 73066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73462950).

73066624 is an abundant number, since it is smaller than the sum of its proper divisors (73859276).

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

73066624 is a wasteful number, since it uses less digits than its factorization.

73066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 73066624 is about 8547.9017308343. The cubic root of 73066624 is about 418.0610244918.

The spelling of 73066624 in words is "seventy-three million, sixty-six thousand, six hundred twenty-four".