73321920 has 168 divisors, whose sum is σ = 288304224. Its totient is φ = 16754688.

The previous prime is 73321883. The next prime is 73321921. The reversal of 73321920 is 2912337.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×73321920² = 10752207904972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73321921) 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 23 ways as a sum of consecutive naturals, for example, 18342 + ... + 21978.

Almost surely, 2^73321920 is an apocalyptic number.

73321920 is a gapful number since it is divisible by the number (70) 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 73321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144152112).

73321920 is an abundant number, since it is smaller than the sum of its proper divisors (214982304).

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

73321920 is a wasteful number, since it uses less digits than its factorization.

73321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 73321920 is about 8562.8219647497. The cubic root of 73321920 is about 418.5473625649.

The spelling of 73321920 in words is "seventy-three million, three hundred twenty-one thousand, nine hundred twenty".