75320496 has 80 divisors (see below), whose sum is σ = 219033600. Its totient is φ = 24777792.

The previous prime is 75320471. The next prime is 75320513. The reversal of 75320496 is 69402357.

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

It is a self number, because there is not a number n which added to its sum of digits gives 75320496.

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 15 ways as a sum of consecutive naturals, for example, 33025 + ... + 35231.

It is an arithmetic number, because the mean of its divisors is an integer number (2737920).

Almost surely, 2^75320496 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 75320496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109516800).

75320496 is an abundant number, since it is smaller than the sum of its proper divisors (143713104).

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

75320496 is a wasteful number, since it uses less digits than its factorization.

75320496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 75320496 is about 8678.7381571286. The cubic root of 75320496 is about 422.3161830077.

The spelling of 75320496 in words is "seventy-five million, three hundred twenty thousand, four hundred ninety-six".