1561107072 has 192 divisors, whose sum is σ = 4862829600. Its totient is φ = 442423296.

The previous prime is 1561107061. The next prime is 1561107073. The reversal of 1561107072 is 2707011651.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1561107073) 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, 3066754 + ... + 3067262.

Almost surely, 2^1561107072 is an apocalyptic number.

1561107072 is a gapful number since it is divisible by the number (12) 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 1561107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431414800).

1561107072 is an abundant number, since it is smaller than the sum of its proper divisors (3301722528).

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

1561107072 is a wasteful number, since it uses less digits than its factorization.

1561107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1561107072 is about 39510.8475231803. The cubic root of 1561107072 is about 1160.0522846033.

The spelling of 1561107072 in words is "one billion, five hundred sixty-one million, one hundred seven thousand, seventy-two".