75528320 has 128 divisors (see below), whose sum is σ = 215619840. Its totient is φ = 24735744.

The previous prime is 75528311. The next prime is 75528347. The reversal of 75528320 is 2382557.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102674 + ... + 103406.

It is an arithmetic number, because the mean of its divisors is an integer number (1684530).

Almost surely, 2^75528320 is an apocalyptic number.

75528320 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 75528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107809920).

75528320 is an abundant number, since it is smaller than the sum of its proper divisors (140091520).

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

75528320 is a wasteful number, since it uses less digits than its factorization.

75528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 75528320 is about 8690.7030785777. The cubic root of 75528320 is about 422.7042440007.

The spelling of 75528320 in words is "seventy-five million, five hundred twenty-eight thousand, three hundred twenty".