73693368 has 256 divisors, whose sum is σ = 257126400. Its totient is φ = 19077120.

The previous prime is 73693363. The next prime is 73693387. The reversal of 73693368 is 86339637.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73693363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208058 + ... + 1208118.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^73693368 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 73693368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

73693368 is an abundant number, since it is smaller than the sum of its proper divisors (183433032).

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

73693368 is a wasteful number, since it uses less digits than its factorization.

73693368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 73693368 is about 8584.4841429174. The cubic root of 73693368 is about 419.2529577590.

The spelling of 73693368 in words is "seventy-three million, six hundred ninety-three thousand, three hundred sixty-eight".