73649664 has 120 divisors (see below), whose sum is σ = 232040952. Its totient is φ = 22302720.

The previous prime is 73649659. The next prime is 73649677. The reversal of 73649664 is 46694637.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49962 + ... + 51414.

Almost surely, 2^73649664 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 73649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116020476).

73649664 is an abundant number, since it is smaller than the sum of its proper divisors (158391288).

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

73649664 is a wasteful number, since it uses less digits than its factorization.

73649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1469 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 73649664 is about 8581.9382426116. The cubic root of 73649664 is about 419.1700617665.

The spelling of 73649664 in words is "seventy-three million, six hundred forty-nine thousand, six hundred sixty-four".