73686240 has 192 divisors, whose sum is σ = 265446720. Its totient is φ = 19077120.

The previous prime is 73686233. The next prime is 73686241. The reversal of 73686240 is 4268637.

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 = 73686195 and 73686204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73686241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159610 + ... + 160070.

It is an arithmetic number, because the mean of its divisors is an integer number (1382535).

Almost surely, 2^73686240 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 73686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

73686240 is an abundant number, since it is smaller than the sum of its proper divisors (191760480).

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

73686240 is a wasteful number, since it uses less digits than its factorization.

73686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 73686240 is about 8584.0689652402. The cubic root of 73686240 is about 419.2394398920.

The spelling of 73686240 in words is "seventy-three million, six hundred eighty-six thousand, two hundred forty".