75312896 has 36 divisors (see below), whose sum is σ = 151767000. Its totient is φ = 37297152.

The previous prime is 75312893. The next prime is 75312917. The reversal of 75312896 is 69821357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75312893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26555 + ... + 29253.

It is an arithmetic number, because the mean of its divisors is an integer number (4215750).

Almost surely, 2^75312896 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 75312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75883500).

75312896 is an abundant number, since it is smaller than the sum of its proper divisors (76454104).

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

75312896 is a wasteful number, since it uses less digits than its factorization.

75312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2810 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 75312896 is about 8678.3002944125. The cubic root of 75312896 is about 422.3019783263.

The spelling of 75312896 in words is "seventy-five million, three hundred twelve thousand, eight hundred ninety-six".