75025664 has 54 divisors (see below), whose sum is σ = 174237714. Its totient is φ = 32148480.

The previous prime is 75025663. The next prime is 75025679. The reversal of 75025664 is 46652057.

It can be written as a sum of positive squares in only one way, i.e., 43665664 + 31360000 = 6608^2 + 5600^2 .

It is a super-3 number, since 3×75025664³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75025663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9554 + ... + 15534.

Almost surely, 2^75025664 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 75025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87118857).

75025664 is an abundant number, since it is smaller than the sum of its proper divisors (99212050).

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

75025664 is an equidigital number, since it uses as much as digits as its factorization.

75025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 75025664 is about 8661.7356228414. The cubic root of 75025664 is about 421.7644290674.

The spelling of 75025664 in words is "seventy-five million, twenty-five thousand, six hundred sixty-four".