73366560 has 336 divisors, whose sum is σ = 282597336. Its totient is φ = 17915904.

The previous prime is 73366537. The next prime is 73366613. The reversal of 73366560 is 6566337.

73366560 is a `hidden beast` number, since 7 + 33 + 66 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72795024 + 571536 = 8532^2 + 756^2 .

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982862 + ... + 1982898.

Almost surely, 2^73366560 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 73366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298668).

73366560 is an abundant number, since it is smaller than the sum of its proper divisors (209230776).

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

73366560 is a wasteful number, since it uses less digits than its factorization.

73366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

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

The square root of 73366560 is about 8565.4281854441. The cubic root of 73366560 is about 418.6322856175.

The spelling of 73366560 in words is "seventy-three million, three hundred sixty-six thousand, five hundred sixty".