75500352 has 168 divisors, whose sum is σ = 232989120. Its totient is φ = 23316480.

The previous prime is 75500351. The next prime is 75500363. The reversal of 75500352 is 25300557.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75500351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543099 + ... + 543237.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^75500352 is an apocalyptic number.

75500352 is a gapful number since it is divisible by the number (72) 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 75500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494560).

75500352 is an abundant number, since it is smaller than the sum of its proper divisors (157488768).

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

75500352 is a wasteful number, since it uses less digits than its factorization.

75500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 75500352 is about 8689.0938537917. The cubic root of 75500352 is about 422.6520620207.

The spelling of 75500352 in words is "seventy-five million, five hundred thousand, three hundred fifty-two".