73429664 has 96 divisors (see below), whose sum is σ = 190947456. Its totient is φ = 26910720.

The previous prime is 73429637. The next prime is 73429667. The reversal of 73429664 is 46692437.

It is not an unprimeable number, because it can be changed into a prime (73429667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41012 + ... + 42764.

It is an arithmetic number, because the mean of its divisors is an integer number (1989036).

Almost surely, 2^73429664 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 73429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95473728).

73429664 is an abundant number, since it is smaller than the sum of its proper divisors (117517792).

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

73429664 is a wasteful number, since it uses less digits than its factorization.

73429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1790 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 73429664 is about 8569.1110390752. Note that the first 3 decimals coincide. The cubic root of 73429664 is about 418.7522758026.

The spelling of 73429664 in words is "seventy-three million, four hundred twenty-nine thousand, six hundred sixty-four".