523056672 has 72 divisors (see below), whose sum is σ = 1509698736. Its totient is φ = 171743616.

The previous prime is 523056671. The next prime is 523056683. The reversal of 523056672 is 276650325.

It is a happy number.

523056672 is a `hidden beast` number, since 5 + 23 + 0 + 566 + 72 = 666.

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 (523056671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5743 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (20968038).

Almost surely, 2^523056672 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 523056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754849368).

523056672 is an abundant number, since it is smaller than the sum of its proper divisors (986642064).

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

523056672 is a wasteful number, since it uses less digits than its factorization.

523056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27190 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 523056672 is about 22870.4322652634. The cubic root of 523056672 is about 805.7177205657.

The spelling of 523056672 in words is "five hundred twenty-three million, fifty-six thousand, six hundred seventy-two".