75268224 has 128 divisors (see below), whose sum is σ = 230112000. Its totient is φ = 24192000.

The previous prime is 75268223. The next prime is 75268241. The reversal of 75268224 is 42286257.

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

It is a super-2 number, since 2×75268224² = 11330611088228352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75268223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99849 + ... + 100599.

It is an arithmetic number, because the mean of its divisors is an integer number (1797750).

Almost surely, 2^75268224 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 75268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115056000).

75268224 is an abundant number, since it is smaller than the sum of its proper divisors (154843776).

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

75268224 is a wasteful number, since it uses less digits than its factorization.

75268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 75268224 is about 8675.7261367565. The cubic root of 75268224 is about 422.2184653816.

The spelling of 75268224 in words is "seventy-five million, two hundred sixty-eight thousand, two hundred twenty-four".