75733920 has 192 divisors, whose sum is σ = 271434240. Its totient is φ = 19713024.

The previous prime is 75733909. The next prime is 75733949. The reversal of 75733920 is 2933757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 202854 + ... + 203226.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^75733920 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 75733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

75733920 is an abundant number, since it is smaller than the sum of its proper divisors (195700320).

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

75733920 is a wasteful number, since it uses less digits than its factorization.

75733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 75733920 is about 8702.5237718722. The cubic root of 75733920 is about 423.0874523677.

The spelling of 75733920 in words is "seventy-five million, seven hundred thirty-three thousand, nine hundred twenty".