75920328 has 80 divisors (see below), whose sum is σ = 232000560. Its totient is φ = 23004000.

The previous prime is 75920323. The next prime is 75920329. The reversal of 75920328 is 82302957.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 75920292 and 75920301.

It is not an unprimeable number, because it can be changed into a prime (75920323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1803 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (2900007).

Almost surely, 2^75920328 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 75920328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116000280).

75920328 is an abundant number, since it is smaller than the sum of its proper divisors (156080232).

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

75920328 is a wasteful number, since it uses less digits than its factorization.

75920328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75920328 is about 8713.2271862956. The cubic root of 75920328 is about 423.4342906480.

The spelling of 75920328 in words is "seventy-five million, nine hundred twenty thousand, three hundred twenty-eight".