75228480 has 112 divisors (see below), whose sum is σ = 265419840. Its totient is φ = 20058624.

The previous prime is 75228443. The next prime is 75228493. The reversal of 75228480 is 8482257.

It is a happy number.

It is a super-2 number, since 2×75228480² = 11318648406220800, which contains 22 as substring.

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

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, 4287 + ... + 12993.

It is an arithmetic number, because the mean of its divisors is an integer number (2369820).

Almost surely, 2^75228480 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 75228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132709920).

75228480 is an abundant number, since it is smaller than the sum of its proper divisors (190191360).

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

75228480 is a wasteful number, since it uses less digits than its factorization.

75228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 75228480 is about 8673.4353055753. The cubic root of 75228480 is about 422.1441374017.

The spelling of 75228480 in words is "seventy-five million, two hundred twenty-eight thousand, four hundred eighty".