75009312 has 144 divisors (see below), whose sum is σ = 252383040. Its totient is φ = 20676096.

The previous prime is 75009301. The next prime is 75009313. The reversal of 75009312 is 21390057.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (75009313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57823 + ... + 59105.

It is an arithmetic number, because the mean of its divisors is an integer number (1752660).

Almost surely, 2^75009312 is an apocalyptic number.

75009312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126191520).

75009312 is an abundant number, since it is smaller than the sum of its proper divisors (177373728).

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

75009312 is a wasteful number, since it uses less digits than its factorization.

75009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 75009312 is about 8660.7916497281. The cubic root of 75009312 is about 421.7337853619.

Adding to 75009312 its reverse (21390057), we get a palindrome (96399369).

The spelling of 75009312 in words is "seventy-five million, nine thousand, three hundred twelve".