75146208 has 48 divisors (see below), whose sum is σ = 199656576. Its totient is φ = 24744320.

The previous prime is 75146177. The next prime is 75146219. The reversal of 75146208 is 80264157.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3253 + ... + 12683.

It is an arithmetic number, because the mean of its divisors is an integer number (4159512).

Almost surely, 2^75146208 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 75146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99828288).

75146208 is an abundant number, since it is smaller than the sum of its proper divisors (124510368).

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

75146208 is a wasteful number, since it uses less digits than its factorization.

75146208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 75146208 is about 8668.6912507021. The cubic root of 75146208 is about 421.9901916665.

The spelling of 75146208 in words is "seventy-five million, one hundred forty-six thousand, two hundred eight".