75325320 has 192 divisors, whose sum is σ = 284394240. Its totient is φ = 16934400.

The previous prime is 75325309. The next prime is 75325321. The reversal of 75325320 is 2352357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75325321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178710 + ... + 179130.

It is an arithmetic number, because the mean of its divisors is an integer number (1481220).

Almost surely, 2^75325320 is an apocalyptic number.

75325320 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 75325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142197120).

75325320 is an abundant number, since it is smaller than the sum of its proper divisors (209068920).

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

75325320 is a wasteful number, since it uses less digits than its factorization.

75325320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 75325320 is about 8679.0160732654. The cubic root of 75325320 is about 422.3251987466.

Adding to 75325320 its reverse (2352357), we get a palindrome (77677677).

The spelling of 75325320 in words is "seventy-five million, three hundred twenty-five thousand, three hundred twenty".