75416320 has 144 divisors (see below), whose sum is σ = 217808640. Its totient is φ = 24440832.

The previous prime is 75416317. The next prime is 75416329. The reversal of 75416320 is 2361457.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (75416329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170019 + ... + 170461.

It is an arithmetic number, because the mean of its divisors is an integer number (1512560).

Almost surely, 2^75416320 is an apocalyptic number.

75416320 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 75416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108904320).

75416320 is an abundant number, since it is smaller than the sum of its proper divisors (142392320).

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

75416320 is a wasteful number, since it uses less digits than its factorization.

75416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 75416320 is about 8684.2570206092. The cubic root of 75416320 is about 422.4951996934.

Adding to 75416320 its reverse (2361457), we get a palindrome (77777777).

It can be divided in two parts, 7541 and 6320, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 75416320 in words is "seventy-five million, four hundred sixteen thousand, three hundred twenty".