75110420 has 192 divisors, whose sum is σ = 220631040. Its totient is φ = 20736000.

The previous prime is 75110353. The next prime is 75110423. The reversal of 75110420 is 2401157.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 75110392 and 75110401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75110423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497345 + ... + 497495.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^75110420 is an apocalyptic number.

75110420 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 75110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

75110420 is an abundant number, since it is smaller than the sum of its proper divisors (145520620).

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

75110420 is a wasteful number, since it uses less digits than its factorization.

75110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 75110420 is about 8666.6267947801. The cubic root of 75110420 is about 421.9231908004.

Adding to 75110420 its reverse (2401157), we get a palindrome (77511577).

The spelling of 75110420 in words is "seventy-five million, one hundred ten thousand, four hundred twenty".