75002130 has 192 divisors, whose sum is σ = 242611200. Its totient is φ = 15685632.

The previous prime is 75002129. The next prime is 75002131. The reversal of 75002130 is 3120057.

It is an interprime number because it is at equal distance from previous prime (75002129) and next prime (75002131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (75002131) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 503296 + ... + 503444.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^75002130 is an apocalyptic number.

75002130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

75002130 is an abundant number, since it is smaller than the sum of its proper divisors (167609070).

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

75002130 is a wasteful number, since it uses less digits than its factorization.

75002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 75002130 is about 8660.3770125786. The cubic root of 75002130 is about 421.7203248610.

Adding to 75002130 its reverse (3120057), we get a palindrome (78122187).

The spelling of 75002130 in words is "seventy-five million, two thousand, one hundred thirty".