75042912 has 192 divisors, whose sum is σ = 239500800. Its totient is φ = 20547072.

The previous prime is 75042907. The next prime is 75042917. The reversal of 75042912 is 21924057.

It is an interprime number because it is at equal distance from previous prime (75042907) and next prime (75042917).

It is a self number, because there is not a number n which added to its sum of digits gives 75042912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75042917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415878 + ... + 1415930.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^75042912 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 75042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

75042912 is an abundant number, since it is smaller than the sum of its proper divisors (164457888).

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

75042912 is a wasteful number, since it uses less digits than its factorization.

75042912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75042912 is about 8662.7312090356. The cubic root of 75042912 is about 421.7967470552.

Adding to 75042912 its reverse (21924057), we get a palindrome (96966969).

The spelling of 75042912 in words is "seventy-five million, forty-two thousand, nine hundred twelve".