75224448 has 96 divisors (see below), whose sum is σ = 233163840. Its totient is φ = 23141376.

The previous prime is 75224419. The next prime is 75224459. The reversal of 75224448 is 84442257.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 12465 + ... + 17487.

It is an arithmetic number, because the mean of its divisors is an integer number (2428790).

Almost surely, 2^75224448 is an apocalyptic number.

75224448 is a gapful number since it is divisible by the number (78) 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 75224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116581920).

75224448 is an abundant number, since it is smaller than the sum of its proper divisors (157939392).

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

75224448 is a wasteful number, since it uses less digits than its factorization.

75224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5041 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 75224448 is about 8673.2028686063. The cubic root of 75224448 is about 422.1365954195.

It can be divided in two parts, 752 and 24448, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 75224448 in words is "seventy-five million, two hundred twenty-four thousand, four hundred forty-eight".