75003264 has 192 divisors, whose sum is σ = 252046080. Its totient is φ = 20966400.

The previous prime is 75003263. The next prime is 75003277. The reversal of 75003264 is 46230057.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×75003264² = 11250979221307392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75003263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572479 + ... + 572609.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 2^75003264 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 75003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023040).

75003264 is an abundant number, since it is smaller than the sum of its proper divisors (177042816).

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

75003264 is a wasteful number, since it uses less digits than its factorization.

75003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75003264 is about 8660.4424829220. The cubic root of 75003264 is about 421.7224502604.

The spelling of 75003264 in words is "seventy-five million, three thousand, two hundred sixty-four".