561072 has 20 divisors (see below), whose sum is σ = 1449560. Its totient is φ = 187008.

The previous prime is 561061. The next prime is 561079. The reversal of 561072 is 270165.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (561079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5797 + ... + 5892.

It is an arithmetic number, because the mean of its divisors is an integer number (72478).

2⁵⁶¹⁰⁷² is an apocalyptic number.

It is an amenable number.

561072 is an abundant number, since it is smaller than the sum of its proper divisors (888488).

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

561072 is a wasteful number, since it uses less digits than its factorization.

561072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 561072 is about 749.0473950292. The cubic root of 561072 is about 82.4782679214.

It can be divided in two parts, 56 and 1072, that added together give a triangular number (1128 = T₄₇).

The spelling of 561072 in words is "five hundred sixty-one thousand, seventy-two".