252071232 has 168 divisors, whose sum is σ = 789090624. Its totient is φ = 69562368.

The previous prime is 252071231. The next prime is 252071243. The reversal of 252071232 is 232170252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252071231) 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 23 ways as a sum of consecutive naturals, for example, 1839868 + ... + 1840004.

It is an arithmetic number, because the mean of its divisors is an integer number (4696968).

Almost surely, 2^252071232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394545312).

252071232 is an abundant number, since it is smaller than the sum of its proper divisors (537019392).

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

252071232 is a wasteful number, since it uses less digits than its factorization.

252071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252071232 is about 15876.7513049742. The cubic root of 252071232 is about 631.6954683027.

The spelling of 252071232 in words is "two hundred fifty-two million, seventy-one thousand, two hundred thirty-two".