75207150 has 192 divisors, whose sum is σ = 229003200. Its totient is φ = 18063360.

The previous prime is 75207137. The next prime is 75207151. The reversal of 75207150 is 5170257.

It is a super-2 number, since 2×75207150² = 11312230822245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75207151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665494 + ... + 665606.

It is an arithmetic number, because the mean of its divisors is an integer number (1192725).

Almost surely, 2^75207150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75207150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

75207150 is an abundant number, since it is smaller than the sum of its proper divisors (153796050).

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

75207150 is a wasteful number, since it uses less digits than its factorization.

75207150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 75207150 is about 8672.2056018063. The cubic root of 75207150 is about 422.1042359104.

It can be divided in two parts, 75207 and 150, that added together give a palindrome (75357).

The spelling of 75207150 in words is "seventy-five million, two hundred seven thousand, one hundred fifty".