252207072 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 71884800.

The previous prime is 252207071. The next prime is 252207077. The reversal of 252207072 is 270702252.

It is a happy number.

252207072 is a `hidden beast` number, since 2 + 522 + 0 + 70 + 72 = 666.

252207072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252207071) 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, 4758598 + ... + 4758650.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^252207072 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 252207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

252207072 is an abundant number, since it is smaller than the sum of its proper divisors (579949344).

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

252207072 is a wasteful number, since it uses less digits than its factorization.

252207072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 252207072 is about 15881.0286820470. The cubic root of 252207072 is about 631.8089204967.

The spelling of 252207072 in words is "two hundred fifty-two million, two hundred seven thousand, seventy-two".