535572 has 72 divisors (see below), whose sum is σ = 1528800. Its totient is φ = 163296.

The previous prime is 535571. The next prime is 535573. The reversal of 535572 is 275535.

It is an interprime number because it is at equal distance from previous prime (535571) and next prime (535573).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535571) 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, 18454 + ... + 18482.

2⁵³⁵⁵⁷² 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 535572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764400).

535572 is an abundant number, since it is smaller than the sum of its proper divisors (993228).

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

535572 is a wasteful number, since it uses less digits than its factorization.

535572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 535572 is about 731.8278486092. The cubic root of 535572 is about 81.2093350750.

It can be divided in two parts, 53 and 5572, that added together give a square (5625 = 75²).

The spelling of 535572 in words is "five hundred thirty-five thousand, five hundred seventy-two".