252168192 has 72 divisors (see below), whose sum is σ = 728361270. Its totient is φ = 84049920.

The previous prime is 252168151. The next prime is 252168197. The reversal of 252168192 is 291861252.

It can be written as a sum of positive squares in only one way, i.e., 158155776 + 94012416 = 12576^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252168197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11592 + ... + 25272.

Almost surely, 2^252168192 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 252168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364180635).

252168192 is an abundant number, since it is smaller than the sum of its proper divisors (476193078).

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

252168192 is a wasteful number, since it uses less digits than its factorization.

252168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13709 (or 13686 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 252168192 is about 15879.8045328020. The cubic root of 252168192 is about 631.7764524761.

The spelling of 252168192 in words is "two hundred fifty-two million, one hundred sixty-eight thousand, one hundred ninety-two".