73676304 has 100 divisors (see below), whose sum is σ = 229696236. Its totient is φ = 22664448.

The previous prime is 73676299. The next prime is 73676311. The reversal of 73676304 is 40367637.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 48274704 = 5040^2 + 6948^2 .

It is a super-2 number, since 2×73676304² = 10856395542200832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14662 + ... + 19034.

Almost surely, 2^73676304 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 73676304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114848118).

73676304 is an abundant number, since it is smaller than the sum of its proper divisors (156019932).

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

73676304 is a wasteful number, since it uses less digits than its factorization.

73676304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 73676304 is about 8583.4901992138. The cubic root of 73676304 is about 419.2205953500.

The spelling of 73676304 in words is "seventy-three million, six hundred seventy-six thousand, three hundred four".