75841220 has 72 divisors (see below), whose sum is σ = 199554264. Its totient is φ = 23998464.

The previous prime is 75841169. The next prime is 75841229. The reversal of 75841220 is 2214857.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 72216004 = 1904^2 + 8498^2 .

It is not an unprimeable number, because it can be changed into a prime (75841229) 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, 9764 + ... + 15716.

It is an arithmetic number, because the mean of its divisors is an integer number (2771587).

Almost surely, 2^75841220 is an apocalyptic number.

75841220 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 75841220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99777132).

75841220 is an abundant number, since it is smaller than the sum of its proper divisors (123713044).

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

75841220 is a wasteful number, since it uses less digits than its factorization.

75841220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 75841220 is about 8708.6864681191. The cubic root of 75841220 is about 423.2871685180.

The spelling of 75841220 in words is "seventy-five million, eight hundred forty-one thousand, two hundred twenty".