523168272 has 120 divisors (see below), whose sum is σ = 1634606688. Its totient is φ = 154828800.

The previous prime is 523168267. The next prime is 523168301. The reversal of 523168272 is 272861325.

523168272 is a `hidden beast` number, since 523 + 1 + 68 + 2 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64272 + ... + 71952.

Almost surely, 2^523168272 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 523168272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817303344).

523168272 is an abundant number, since it is smaller than the sum of its proper divisors (1111438416).

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

523168272 is a wasteful number, since it uses less digits than its factorization.

523168272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7740 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 523168272 is about 22872.8719665896. The cubic root of 523168272 is about 805.7750194577.

The spelling of 523168272 in words is "five hundred twenty-three million, one hundred sixty-eight thousand, two hundred seventy-two".