73361664 has 108 divisors (see below), whose sum is σ = 224081676. Its totient is φ = 23003136.

The previous prime is 73361663. The next prime is 73361671. The reversal of 73361664 is 46616337.

It is a happy number.

73361664 is a `hidden beast` number, since 7 + 33 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 48441600 = 4992^2 + 6960^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73361663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38232 + ... + 40104.

Almost surely, 2^73361664 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 73361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112040838).

73361664 is an abundant number, since it is smaller than the sum of its proper divisors (150720012).

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

73361664 is a wasteful number, since it uses less digits than its factorization.

73361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 73361664 is about 8565.1423806029. The cubic root of 73361664 is about 418.6229731584.

The spelling of 73361664 in words is "seventy-three million, three hundred sixty-one thousand, six hundred sixty-four".