75075280 has 80 divisors (see below), whose sum is σ = 202129920. Its totient is φ = 25399296.

The previous prime is 75075271. The next prime is 75075307. The reversal of 75075280 is 8257057.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 43392 + ... + 45088.

It is an arithmetic number, because the mean of its divisors is an integer number (2526624).

Almost surely, 2^75075280 is an apocalyptic number.

75075280 is a gapful number since it is divisible by the number (70) 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 75075280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101064960).

75075280 is an abundant number, since it is smaller than the sum of its proper divisors (127054640).

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

75075280 is a wasteful number, since it uses less digits than its factorization.

75075280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 75075280 is about 8664.5992405881. The cubic root of 75075280 is about 421.8573823827.

The spelling of 75075280 in words is "seventy-five million, seventy-five thousand, two hundred eighty".