73868160 has 128 divisors (see below), whose sum is σ = 238924800. Its totient is φ = 19408896.

The previous prime is 73868141. The next prime is 73868209. The reversal of 73868160 is 6186837.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151437 + ... + 151923.

It is an arithmetic number, because the mean of its divisors is an integer number (1866600).

Almost surely, 2^73868160 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 73868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119462400).

73868160 is an abundant number, since it is smaller than the sum of its proper divisors (165056640).

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

73868160 is a wasteful number, since it uses less digits than its factorization.

73868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 73868160 is about 8594.6588064914. The cubic root of 73868160 is about 419.5841689312.

The spelling of 73868160 in words is "seventy-three million, eight hundred sixty-eight thousand, one hundred sixty".