75950496 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 23846400.

The previous prime is 75950473. The next prime is 75950503. The reversal of 75950496 is 69405957.

It is a happy number.

75950496 is a `hidden beast` number, since 7 + 59 + 504 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419526 + ... + 419706.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 2^75950496 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 75950496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

75950496 is an abundant number, since it is smaller than the sum of its proper divisors (153002592).

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

75950496 is a wasteful number, since it uses less digits than its factorization.

75950496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 75950496 is about 8714.9581754590. The cubic root of 75950496 is about 423.4903690589.

The spelling of 75950496 in words is "seventy-five million, nine hundred fifty thousand, four hundred ninety-six".