73201968 has 100 divisors (see below), whose sum is σ = 242164560. Its totient is φ = 20912256.

The previous prime is 73201937. The next prime is 73201969. The reversal of 73201968 is 86910237.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73201969) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5038 + ... + 13106.

Almost surely, 2^73201968 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 73201968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121082280).

73201968 is an abundant number, since it is smaller than the sum of its proper divisors (168962592).

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

73201968 is a wasteful number, since it uses less digits than its factorization.

73201968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73201968 is about 8555.8148647572. The cubic root of 73201968 is about 418.3189952212.

The spelling of 73201968 in words is "seventy-three million, two hundred one thousand, nine hundred sixty-eight".