521742672 has 120 divisors (see below), whose sum is σ = 1662268608. Its totient is φ = 151219200.

The previous prime is 521742659. The next prime is 521742673. The reversal of 521742672 is 276247125.

It is a happy number.

521742672 is a `hidden beast` number, since 521 + 74 + 2 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521742673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29272 + ... + 43592.

Almost surely, 2^521742672 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 521742672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831134304).

521742672 is an abundant number, since it is smaller than the sum of its proper divisors (1140525936).

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

521742672 is a wasteful number, since it uses less digits than its factorization.

521742672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14360 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 521742672 is about 22841.6871530980. The cubic root of 521742672 is about 805.0424585710.

Adding to 521742672 its reverse (276247125), we get a palindrome (797989797).

The spelling of 521742672 in words is "five hundred twenty-one million, seven hundred forty-two thousand, six hundred seventy-two".