73859040 has 240 divisors, whose sum is σ = 268939440. Its totient is φ = 19077120.

The previous prime is 73859039. The next prime is 73859047. The reversal of 73859040 is 4095837.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 73858986 and 73859004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73859047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531291 + ... + 531429.

It is an arithmetic number, because the mean of its divisors is an integer number (1120581).

Almost surely, 2^73859040 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 73859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134469720).

73859040 is an abundant number, since it is smaller than the sum of its proper divisors (195080400).

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

73859040 is a wasteful number, since it uses less digits than its factorization.

73859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73859040 is about 8594.1282280404. The cubic root of 73859040 is about 419.5669004847.

The spelling of 73859040 in words is "seventy-three million, eight hundred fifty-nine thousand, forty".