75409152 has 216 divisors, whose sum is σ = 251362944. Its totient is φ = 19648512.

The previous prime is 75409151. The next prime is 75409177. The reversal of 75409152 is 25190457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75409151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908503 + ... + 908585.

Almost surely, 2^75409152 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 75409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125681472).

75409152 is an abundant number, since it is smaller than the sum of its proper divisors (175953792).

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

75409152 is a wasteful number, since it uses less digits than its factorization.

75409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 75409152 is about 8683.8443099816. The cubic root of 75409152 is about 422.4818138129.

The spelling of 75409152 in words is "seventy-five million, four hundred nine thousand, one hundred fifty-two".