73886040 has 192 divisors, whose sum is σ = 258962400. Its totient is φ = 18724608.

The previous prime is 73886039. The next prime is 73886047. The reversal of 73886040 is 4068837.

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 = 73885986 and 73886004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73886047) 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 47 ways as a sum of consecutive naturals, for example, 1718259 + ... + 1718301.

Almost surely, 2^73886040 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 73886040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129481200).

73886040 is an abundant number, since it is smaller than the sum of its proper divisors (185076360).

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

73886040 is a wasteful number, since it uses less digits than its factorization.

73886040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73886040 is about 8595.6989244622. The cubic root of 73886040 is about 419.6180200506.

The spelling of 73886040 in words is "seventy-three million, eight hundred eighty-six thousand, forty".