75120420 has 48 divisors (see below), whose sum is σ = 212321088. Its totient is φ = 19843200.

The previous prime is 75120407. The next prime is 75120439. The reversal of 75120420 is 2402157.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570 + ... + 12270.

It is an arithmetic number, because the mean of its divisors is an integer number (4423356).

Almost surely, 2^75120420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106160544).

75120420 is an abundant number, since it is smaller than the sum of its proper divisors (137200668).

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

75120420 is a wasteful number, since it uses less digits than its factorization.

75120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11820 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 75120420 is about 8667.2037013099. The cubic root of 75120420 is about 421.9419145437.

Adding to 75120420 its reverse (2402157), we get a palindrome (77522577).

The spelling of 75120420 in words is "seventy-five million, one hundred twenty thousand, four hundred twenty".