75146976 has 144 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 22913280.

The previous prime is 75146969. The next prime is 75147001. The reversal of 75146976 is 67964157.

It is a happy number.

75146976 is a `hidden beast` number, since 7 + 514 + 69 + 76 = 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169411 + ... + 169853.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^75146976 is an apocalyptic number.

75146976 is a gapful number since it is divisible by the number (76) 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 75146976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

75146976 is an abundant number, since it is smaller than the sum of its proper divisors (157580064).

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

75146976 is a wasteful number, since it uses less digits than its factorization.

75146976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 75146976 is about 8668.7355479332. The cubic root of 75146976 is about 421.9916292523.

The spelling of 75146976 in words is "seventy-five million, one hundred forty-six thousand, nine hundred seventy-six".