75117030 has 96 divisors (see below), whose sum is σ = 194503680. Its totient is φ = 18541440.

The previous prime is 75117017. The next prime is 75117037. The reversal of 75117030 is 3071157.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75117037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273141 + ... + 1273199.

It is an arithmetic number, because the mean of its divisors is an integer number (2026080).

Almost surely, 2^75117030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75117030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97251840).

75117030 is an abundant number, since it is smaller than the sum of its proper divisors (119386650).

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

75117030 is a wasteful number, since it uses less digits than its factorization.

75117030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 75117030 is about 8667.0081342987. The cubic root of 75117030 is about 421.9355673809.

Adding to 75117030 its reverse (3071157), we get a palindrome (78188187).

It can be divided in two parts, 7511 and 7030, that added together give a palindrome (14541).

The spelling of 75117030 in words is "seventy-five million, one hundred seventeen thousand, thirty".