75913488 has 120 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 21482496.

The previous prime is 75913477. The next prime is 75913511. The reversal of 75913488 is 88431957.

It is a super-2 number, since 2×75913488² = 11525715320652288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127720 + ... + 128312.

Almost surely, 2^75913488 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 75913488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

75913488 is an abundant number, since it is smaller than the sum of its proper divisors (169213680).

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

75913488 is a wasteful number, since it uses less digits than its factorization.

75913488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 75913488 is about 8712.8346707601. The cubic root of 75913488 is about 423.4215739066.

It can be divided in two parts, 7591348 and 8, that added together give a triangular number (7591356 = T₃₈₉₆).

The spelling of 75913488 in words is "seventy-five million, nine hundred thirteen thousand, four hundred eighty-eight".