73641600 has 144 divisors (see below), whose sum is σ = 262872870. Its totient is φ = 19630080.

The previous prime is 73641583. The next prime is 73641613. The reversal of 73641600 is 614637.

It can be written as a sum of positive squares in 3 ways, for example, as 52186176 + 21455424 = 7224^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 27522 + ... + 30078.

Almost surely, 2^73641600 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 73641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131436435).

73641600 is an abundant number, since it is smaller than the sum of its proper divisors (189231270).

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

73641600 is a wasteful number, since it uses less digits than its factorization.

73641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73641600 is about 8581.4684058149. The cubic root of 73641600 is about 419.1547627117.

The spelling of 73641600 in words is "seventy-three million, six hundred forty-one thousand, six hundred".