73855368 has 64 divisors (see below), whose sum is σ = 205972800. Its totient is φ = 24520320.

The previous prime is 73855357. The next prime is 73855399. The reversal of 73855368 is 86355837.

73855368 is a `hidden beast` number, since 7 + 38 + 553 + 68 = 666.

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, 70980 + ... + 72012.

It is an arithmetic number, because the mean of its divisors is an integer number (3218325).

Almost surely, 2^73855368 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 73855368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102986400).

73855368 is an abundant number, since it is smaller than the sum of its proper divisors (132117432).

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

73855368 is a wasteful number, since it uses less digits than its factorization.

73855368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 73855368 is about 8593.9145911511. The cubic root of 73855368 is about 419.5599472614.

The spelling of 73855368 in words is "seventy-three million, eight hundred fifty-five thousand, three hundred sixty-eight".