73859840 has 72 divisors (see below), whose sum is σ = 186290160. Its totient is φ = 27979776.

The previous prime is 73859833. The next prime is 73859861. The reversal of 73859840 is 4895837.

It is a super-3 number, since 3×73859840³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73859791 and 73859800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22802 + ... + 25838.

Almost surely, 2^73859840 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 73859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93145080).

73859840 is an abundant number, since it is smaller than the sum of its proper divisors (112430320).

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

73859840 is a wasteful number, since it uses less digits than its factorization.

73859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 73859840 is about 8594.1747713204. The cubic root of 73859840 is about 419.5684153176.

The spelling of 73859840 in words is "seventy-three million, eight hundred fifty-nine thousand, eight hundred forty".