534072 has 96 divisors (see below), whose sum is σ = 1768320. Its totient is φ = 130560.

The previous prime is 534059. The next prime is 534073. The reversal of 534072 is 270435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534073) by changing a digit.

534072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31408 + ... + 31424.

It is an arithmetic number, because the mean of its divisors is an integer number (18420).

2⁵³⁴⁰⁷² 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 534072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884160).

534072 is an abundant number, since it is smaller than the sum of its proper divisors (1234248).

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

534072 is a wasteful number, since it uses less digits than its factorization.

534072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 534072 is about 730.8022988470. The cubic root of 534072 is about 81.1334486687.

The spelling of 534072 in words is "five hundred thirty-four thousand, seventy-two".