252172760 has 128 divisors (see below), whose sum is σ = 675354240. Its totient is φ = 82944000.

The previous prime is 252172741. The next prime is 252172763. The reversal of 252172760 is 67271252.

It is a super-2 number, since 2×252172760² = 127182201772035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252172763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046240 + ... + 1046480.

It is an arithmetic number, because the mean of its divisors is an integer number (5276205).

Almost surely, 2^252172760 is an apocalyptic number.

252172760 is a gapful number since it is divisible by the number (20) 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 252172760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337677120).

252172760 is an abundant number, since it is smaller than the sum of its proper divisors (423181480).

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

252172760 is a wasteful number, since it uses less digits than its factorization.

252172760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 252172760 is about 15879.9483626364. The cubic root of 252172760 is about 631.7802673075.

The spelling of 252172760 in words is "two hundred fifty-two million, one hundred seventy-two thousand, seven hundred sixty".