75905152 has 96 divisors (see below), whose sum is σ = 169218000. Its totient is φ = 33808896.

The previous prime is 75905149. The next prime is 75905173. The reversal of 75905152 is 25150957.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1286499 + ... + 1286557.

Almost surely, 2^75905152 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 75905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84609000).

75905152 is an abundant number, since it is smaller than the sum of its proper divisors (93312848).

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

75905152 is a wasteful number, since it uses less digits than its factorization.

75905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 75905152 is about 8712.3562828893. The cubic root of 75905152 is about 423.4060748100.

The spelling of 75905152 in words is "seventy-five million, nine hundred five thousand, one hundred fifty-two".