75006528 has 112 divisors (see below), whose sum is σ = 216408000. Its totient is φ = 22837248.

The previous prime is 75006527. The next prime is 75006559. The reversal of 75006528 is 82560057.

It is a happy number.

It is a super-2 number, since 2×75006528² = 11251958485229568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75006527) 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, 105438 + ... + 106146.

Almost surely, 2^75006528 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 75006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108204000).

75006528 is an abundant number, since it is smaller than the sum of its proper divisors (141401472).

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

75006528 is a wasteful number, since it uses less digits than its factorization.

75006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 75006528 is about 8660.6309238993. The cubic root of 75006528 is about 421.7285676924.

It can be divided in two parts, 7500 and 6528, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 75006528 in words is "seventy-five million, six thousand, five hundred twenty-eight".