75914112 has 128 divisors (see below), whose sum is σ = 221421600. Its totient is φ = 22937600.

The previous prime is 75914093. The next prime is 75914143. The reversal of 75914112 is 21141957.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 75914112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189112 + ... + 189512.

Almost surely, 2^75914112 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 75914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110710800).

75914112 is an abundant number, since it is smaller than the sum of its proper divisors (145507488).

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

75914112 is a wasteful number, since it uses less digits than its factorization.

75914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 75914112 is about 8712.8704799280. The cubic root of 75914112 is about 423.4227340621.

It can be divided in two parts, 75 and 914112, that multiplied together give a square (68558400 = 8280²).

The spelling of 75914112 in words is "seventy-five million, nine hundred fourteen thousand, one hundred twelve".