73664448 has 112 divisors (see below), whose sum is σ = 229063296. Its totient is φ = 20597760.

The previous prime is 73664443. The next prime is 73664453. The reversal of 73664448 is 84446637.

It is an interprime number because it is at equal distance from previous prime (73664443) and next prime (73664453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73664443) 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, 26115 + ... + 28797.

It is an arithmetic number, because the mean of its divisors is an integer number (2045208).

Almost surely, 2^73664448 is an apocalyptic number.

73664448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114531648).

73664448 is an abundant number, since it is smaller than the sum of its proper divisors (155398848).

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

73664448 is a wasteful number, since it uses less digits than its factorization.

73664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2712 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 73664448 is about 8582.7995432726. The cubic root of 73664448 is about 419.1981071336.

The spelling of 73664448 in words is "seventy-three million, six hundred sixty-four thousand, four hundred forty-eight".