533532672 has 156 divisors (see below), whose sum is σ = 1583189244. Its totient is φ = 173015040.

The previous prime is 533532653. The next prime is 533532707. The reversal of 533532672 is 276235335.

533532672 is a `hidden beast` number, since 53 + 3 + 532 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103550976 + 429981696 = 10176^2 + 20736^2 .

It is a super-2 number, since 2×533532672² = 569314224182919168, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511248 + ... + 1511600.

It is an arithmetic number, because the mean of its divisors is an integer number (10148649).

Almost surely, 2^533532672 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 533532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791594622).

533532672 is an abundant number, since it is smaller than the sum of its proper divisors (1049656572).

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

533532672 is a wasteful number, since it uses less digits than its factorization.

533532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 533532672 is about 23098.3261731235. The cubic root of 533532672 is about 811.0612883278.

The spelling of 533532672 in words is "five hundred thirty-three million, five hundred thirty-two thousand, six hundred seventy-two".