73966320 has 120 divisors (see below), whose sum is σ = 263059056. Its totient is φ = 18561024.

The previous prime is 73966307. The next prime is 73966349. The reversal of 73966320 is 2366937.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9219 + ... + 15261.

Almost surely, 2^73966320 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 73966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131529528).

73966320 is an abundant number, since it is smaller than the sum of its proper divisors (189092736).

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

73966320 is a wasteful number, since it uses less digits than its factorization.

73966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 73966320 is about 8600.3674340112. The cubic root of 73966320 is about 419.7699420343.

The spelling of 73966320 in words is "seventy-three million, nine hundred sixty-six thousand, three hundred twenty".