75223368 has 192 divisors, whose sum is σ = 243285120. Its totient is φ = 20736000.

The previous prime is 75223349. The next prime is 75223433. The reversal of 75223368 is 86332257.

75223368 is a `hidden beast` number, since 75 + 223 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498093 + ... + 498243.

It is an arithmetic number, because the mean of its divisors is an integer number (1267110).

Almost surely, 2^75223368 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 75223368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121642560).

75223368 is an abundant number, since it is smaller than the sum of its proper divisors (168061752).

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

75223368 is a wasteful number, since it uses less digits than its factorization.

75223368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 75223368 is about 8673.1406076461. The cubic root of 75223368 is about 422.1345751999.

Subtracting 75223368 from its reverse (86332257), we obtain a square (11108889 = 3333²).

The spelling of 75223368 in words is "seventy-five million, two hundred twenty-three thousand, three hundred sixty-eight".