1563072 has 56 divisors (see below), whose sum is σ = 4730496. Its totient is φ = 446208.

The previous prime is 1563061. The next prime is 1563077. The reversal of 1563072 is 2703651.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563077) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 763 + ... + 1925.

2^1563072 is an apocalyptic number.

1563072 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 1563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365248).

1563072 is an abundant number, since it is smaller than the sum of its proper divisors (3167424).

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

1563072 is a wasteful number, since it uses less digits than its factorization.

1563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1563072 is about 1250.2287790641. The cubic root of 1563072 is about 116.0538790531.

The spelling of 1563072 in words is "one million, five hundred sixty-three thousand, seventy-two".