73813920 has 96 divisors (see below), whose sum is σ = 234928512. Its totient is φ = 19479552.

The previous prime is 73813891. The next prime is 73813921. The reversal of 73813920 is 2931837.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (73813921) 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, 48694 + ... + 50186.

It is an arithmetic number, because the mean of its divisors is an integer number (2447172).

Almost surely, 2^73813920 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 73813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117464256).

73813920 is an abundant number, since it is smaller than the sum of its proper divisors (161114592).

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

73813920 is a wasteful number, since it uses less digits than its factorization.

73813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 73813920 is about 8591.5027789089. The cubic root of 73813920 is about 419.4814461978.

The spelling of 73813920 in words is "seventy-three million, eight hundred thirteen thousand, nine hundred twenty".