73644960 has 48 divisors (see below), whose sum is σ = 231983136. Its totient is φ = 19638528.

The previous prime is 73644959. The next prime is 73644971. The reversal of 73644960 is 6944637.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

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 7 ways as a sum of consecutive naturals, for example, 76234 + ... + 77193.

It is an arithmetic number, because the mean of its divisors is an integer number (4832982).

Almost surely, 2^73644960 is an apocalyptic number.

It is an amenable number.

73644960 is an abundant number, since it is smaller than the sum of its proper divisors (158338176).

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

73644960 is a wasteful number, since it uses less digits than its factorization.

73644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153445 (or 153437 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 73644960 is about 8581.6641742730. The cubic root of 73644960 is about 419.1611374536.

The spelling of 73644960 in words is "seventy-three million, six hundred forty-four thousand, nine hundred sixty".