75306420 has 144 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 16904448.

The previous prime is 75306419. The next prime is 75306449. The reversal of 75306420 is 2460357.

It is a happy number.

It is a super-3 number, since 3×75306420³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73834 + ... + 74846.

It is an arithmetic number, because the mean of its divisors is an integer number (1845480).

Almost surely, 2^75306420 is an apocalyptic number.

75306420 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 75306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

75306420 is an abundant number, since it is smaller than the sum of its proper divisors (190442700).

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

75306420 is a wasteful number, since it uses less digits than its factorization.

75306420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75306420 is about 8677.9271718539. The cubic root of 75306420 is about 422.2898736884.

Adding to 75306420 its reverse (2460357), we get a palindrome (77766777).

The spelling of 75306420 in words is "seventy-five million, three hundred six thousand, four hundred twenty".