536275872 has 144 divisors (see below), whose sum is σ = 1678622400. Its totient is φ = 162391680.

The previous prime is 536275871. The next prime is 536275907. The reversal of 536275872 is 278572635.

536275872 is a `hidden beast` number, since 5 + 3 + 62 + 7 + 587 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (536275871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382629 + ... + 384027.

It is an arithmetic number, because the mean of its divisors is an integer number (11657100).

Almost surely, 2^536275872 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 536275872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839311200).

536275872 is an abundant number, since it is smaller than the sum of its proper divisors (1142346528).

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

536275872 is a wasteful number, since it uses less digits than its factorization.

536275872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1415 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 536275872 is about 23157.6309669189. The cubic root of 536275872 is about 812.4489578034.

The spelling of 536275872 in words is "five hundred thirty-six million, two hundred seventy-five thousand, eight hundred seventy-two".