561272000 has 112 divisors (see below), whose sum is σ = 1472110848. Its totient is φ = 211251200.

The previous prime is 561271999. The next prime is 561272021. The reversal of 561272000 is 272165.

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 15 ways as a sum of consecutive naturals, for example, 133937 + ... + 138063.

Almost surely, 2^561272000 is an apocalyptic number.

561272000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736055424).

561272000 is an abundant number, since it is smaller than the sum of its proper divisors (910838848).

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

561272000 is a wasteful number, since it uses less digits than its factorization.

561272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 561272000 is about 23691.1797933324. The cubic root of 561272000 is about 824.8806683845.

The spelling of 561272000 in words is "five hundred sixty-one million, two hundred seventy-two thousand".