75358016 has 56 divisors (see below), whose sum is σ = 154899360. Its totient is φ = 36352512.

The previous prime is 75358013. The next prime is 75358027. The reversal of 75358016 is 61085357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75358013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382430 + ... + 382626.

It is an arithmetic number, because the mean of its divisors is an integer number (2766060).

Almost surely, 2^75358016 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 75358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77449680).

75358016 is an abundant number, since it is smaller than the sum of its proper divisors (79541344).

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

75358016 is a wasteful number, since it uses less digits than its factorization.

75358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 75358016 is about 8680.8994925641. The cubic root of 75358016 is about 422.3862952777.

It can be divided in two parts, 7535 and 8016, that added together give a palindrome (15551).

The spelling of 75358016 in words is "seventy-five million, three hundred fifty-eight thousand, sixteen".