75405312 has 72 divisors (see below), whose sum is σ = 217837620. Its totient is φ = 25128960.

The previous prime is 75405311. The next prime is 75405313. The reversal of 75405312 is 21350457.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75405311) and next prime (75405313).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×75405312² = 11371922155634688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75405311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16387 + ... + 20477.

Almost surely, 2^75405312 is an apocalyptic number.

75405312 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 75405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108918810).

75405312 is an abundant number, since it is smaller than the sum of its proper divisors (142432308).

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

75405312 is a wasteful number, since it uses less digits than its factorization.

75405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75405312 is about 8683.6232069338. The cubic root of 75405312 is about 422.4746424565.

Adding to 75405312 its reverse (21350457), we get a palindrome (96755769).

The spelling of 75405312 in words is "seventy-five million, four hundred five thousand, three hundred twelve".