73923840 has 360 divisors, whose sum is σ = 284917248. Its totient is φ = 18247680.

The previous prime is 73923833. The next prime is 73923841. The reversal of 73923840 is 4832937.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 73923795 and 73923804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73923841) 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 39 ways as a sum of consecutive naturals, for example, 2384625 + ... + 2384655.

Almost surely, 2^73923840 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 73923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624).

73923840 is an abundant number, since it is smaller than the sum of its proper divisors (210993408).

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

73923840 is a wasteful number, since it uses less digits than its factorization.

73923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73923840 is about 8597.8974173922. The cubic root of 73923840 is about 419.6895665250.

The spelling of 73923840 in words is "seventy-three million, nine hundred twenty-three thousand, eight hundred forty".