75106152 has 144 divisors (see below), whose sum is σ = 230614020. Its totient is φ = 22049280.

The previous prime is 75106151. The next prime is 75106181. The reversal of 75106152 is 25160157.

It can be written as a sum of positive squares in 2 ways, for example, as 74753316 + 352836 = 8646^2 + 594^2 .

It is not an unprimeable number, because it can be changed into a prime (75106151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 322228 + ... + 322460.

Almost surely, 2^75106152 is an apocalyptic number.

75106152 is a gapful number since it is divisible by the number (72) 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 75106152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115307010).

75106152 is an abundant number, since it is smaller than the sum of its proper divisors (155507868).

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

75106152 is a wasteful number, since it uses less digits than its factorization.

75106152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 75106152 is about 8666.3805593800. The cubic root of 75106152 is about 421.9151990007.

The spelling of 75106152 in words is "seventy-five million, one hundred six thousand, one hundred fifty-two".