75141220 has 96 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 22995840.

The previous prime is 75141211. The next prime is 75141247. The reversal of 75141220 is 2214157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 75141191 and 75141200.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90447 + ... + 91273.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^75141220 is an apocalyptic number.

75141220 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 75141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

75141220 is an abundant number, since it is smaller than the sum of its proper divisors (125168540).

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

75141220 is a wasteful number, since it uses less digits than its factorization.

75141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 75141220 is about 8668.4035439059. The cubic root of 75141220 is about 421.9808546079.

Adding to 75141220 its reverse (2214157), we get a palindrome (77355377).

The spelling of 75141220 in words is "seventy-five million, one hundred forty-one thousand, two hundred twenty".