73920 has 112 divisors (see below), whose sum is σ = 292608. Its totient is φ = 15360.

The previous prime is 73907. The next prime is 73939. The reversal of 73920 is 2937.

73920 is a nontrivial binomial coefficient, being equal to C(385, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6715 + ... + 6725.

2⁷³⁹²⁰ is an apocalyptic number.

73920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73920 is the 384-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

73920 is an abundant number, since it is smaller than the sum of its proper divisors (218688).

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

73920 is a wasteful number, since it uses less digits than its factorization.

73920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 73920 is about 271.8823274875. The cubic root of 73920 is about 41.9682299425.

The spelling of 73920 in words is "seventy-three thousand, nine hundred twenty".