73665360 has 120 divisors (see below), whose sum is σ = 250088904. Its totient is φ = 19430400.

The previous prime is 73665353. The next prime is 73665373. The reversal of 73665360 is 6356637.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 69355584 = 2076^2 + 8328^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72214 + ... + 73226.

Almost surely, 2^73665360 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 73665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125044452).

73665360 is an abundant number, since it is smaller than the sum of its proper divisors (176423544).

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

73665360 is a wasteful number, since it uses less digits than its factorization.

73665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 73665360 is about 8582.8526726258. The cubic root of 73665360 is about 419.1998370821.

The spelling of 73665360 in words is "seventy-three million, six hundred sixty-five thousand, three hundred sixty".