75913152 has 84 divisors (see below), whose sum is σ = 233674920. Its totient is φ = 21686784.

The previous prime is 75913093. The next prime is 75913153. The reversal of 75913152 is 25131957.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75913153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5374 + ... + 13442.

Almost surely, 2^75913152 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 75913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116837460).

75913152 is an abundant number, since it is smaller than the sum of its proper divisors (157761768).

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

75913152 is a wasteful number, since it uses less digits than its factorization.

75913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8081 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 75913152 is about 8712.8153888396. The cubic root of 75913152 is about 423.4209492049.

The spelling of 75913152 in words is "seventy-five million, nine hundred thirteen thousand, one hundred fifty-two".