73866304 has 42 divisors (see below), whose sum is σ = 151585422. Its totient is φ = 35712000.

The previous prime is 73866301. The next prime is 73866307. The reversal of 73866304 is 40366837.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73866301) and next prime (73866307).

It can be written as a sum of positive squares in only one way, i.e., 38440000 + 35426304 = 6200^2 + 5952^2 .

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73866301) 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, 60904 + ... + 62104.

Almost surely, 2^73866304 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 73866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75792711).

73866304 is an abundant number, since it is smaller than the sum of its proper divisors (77719118).

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

73866304 is a wasteful number, since it uses less digits than its factorization.

73866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 73866304 is about 8594.5508317771. The cubic root of 73866304 is about 419.5806547661.

Adding to 73866304 its product of nonzero digits (72576), we get a triangular number (73938880 = T₁₂₁₆₀).

The spelling of 73866304 in words is "seventy-three million, eight hundred sixty-six thousand, three hundred four".