73735664 has 40 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 34377728.

The previous prime is 73735657. The next prime is 73735679. The reversal of 73735664 is 46653737.

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 7 ways as a sum of consecutive naturals, for example, 29537 + ... + 31935.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^73735664 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 73735664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

73735664 is an abundant number, since it is smaller than the sum of its proper divisors (78933136).

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

73735664 is a wasteful number, since it uses less digits than its factorization.

73735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2531 counting only the distinct ones).

The product of its digits is 317520, while the sum is 41.

The square root of 73735664 is about 8586.9473039026. The cubic root of 73735664 is about 419.3331519118. Note that the first 3 decimals are identical.

The spelling of 73735664 in words is "seventy-three million, seven hundred thirty-five thousand, six hundred sixty-four".