75200256 has 108 divisors (see below), whose sum is σ = 219378432. Its totient is φ = 24772608.

The previous prime is 75200239. The next prime is 75200263. The reversal of 75200256 is 65200257.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 292480 + ... + 292736.

Almost surely, 2^75200256 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 75200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109689216).

75200256 is an abundant number, since it is smaller than the sum of its proper divisors (144178176).

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

75200256 is a wasteful number, since it uses less digits than its factorization.

75200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75200256 is about 8671.8081159583. The cubic root of 75200256 is about 422.0913378658.

Subtracting from 75200256 its reverse (65200257), we obtain a palindrome (9999999).

The spelling of 75200256 in words is "seventy-five million, two hundred thousand, two hundred fifty-six".