75089952 has 216 divisors, whose sum is σ = 263852316. Its totient is φ = 20127744.

The previous prime is 75089941. The next prime is 75089977. The reversal of 75089952 is 25998057.

It is a happy number.

75089952 is a `hidden beast` number, since 7 + 508 + 99 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 3111696 = 8484^2 + 1764^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75089898 and 75089907.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239748 + ... + 240060.

Almost surely, 2^75089952 is an apocalyptic number.

75089952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131926158).

75089952 is an abundant number, since it is smaller than the sum of its proper divisors (188762364).

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

75089952 is a wasteful number, since it uses less digits than its factorization.

75089952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 75089952 is about 8665.4458627355. The cubic root of 75089952 is about 421.8848618600.

The spelling of 75089952 in words is "seventy-five million, eighty-nine thousand, nine hundred fifty-two".