73868640 has 96 divisors (see below), whose sum is σ = 242839296. Its totient is φ = 18839040.

The previous prime is 73868633. The next prime is 73868651. The reversal of 73868640 is 4686837.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 73868592 and 73868601.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7695 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (2529576).

Almost surely, 2^73868640 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 73868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121419648).

73868640 is an abundant number, since it is smaller than the sum of its proper divisors (168970656).

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

73868640 is a wasteful number, since it uses less digits than its factorization.

73868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 73868640 is about 8594.6867307657. The cubic root of 73868640 is about 419.5850777575.

It can be divided in two parts, 738 and 68640, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 73868640 in words is "seventy-three million, eight hundred sixty-eight thousand, six hundred forty".