523992672 has 144 divisors (see below), whose sum is σ = 1777975920. Its totient is φ = 149700096.

The previous prime is 523992661. The next prime is 523992673. The reversal of 523992672 is 276299325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523992673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36148 + ... + 48524.

It is an arithmetic number, because the mean of its divisors is an integer number (12347055).

Almost surely, 2^523992672 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 523992672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888987960).

523992672 is an abundant number, since it is smaller than the sum of its proper divisors (1253983248).

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

523992672 is a wasteful number, since it uses less digits than its factorization.

523992672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410 (or 12389 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 523992672 is about 22890.8862213764. The cubic root of 523992672 is about 806.1980397017.

The spelling of 523992672 in words is "five hundred twenty-three million, nine hundred ninety-two thousand, six hundred seventy-two".