73723008 has 64 divisors (see below), whose sum is σ = 197676000. Its totient is φ = 24342528.

The previous prime is 73722973. The next prime is 73723009. The reversal of 73723008 is 80032737.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (73723009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42543 + ... + 44241.

Almost surely, 2^73723008 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 73723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98838000).

73723008 is an abundant number, since it is smaller than the sum of its proper divisors (123952992).

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

73723008 is a wasteful number, since it uses less digits than its factorization.

73723008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 73723008 is about 8586.2103398414. The cubic root of 73723008 is about 419.3091590715.

The spelling of 73723008 in words is "seventy-three million, seven hundred twenty-three thousand, eight".