1056006072 has 288 divisors, whose sum is σ = 3401049600. Its totient is φ = 304430400.

The previous prime is 1056006071. The next prime is 1056006109. The reversal of 1056006072 is 2706006501.

1056006072 is a `hidden beast` number, since 1 + 0 + 56 + 0 + 0 + 607 + 2 = 666.

It is a super-3 number, since 3×1056006072³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056006071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17898379 + ... + 17898437.

It is an arithmetic number, because the mean of its divisors is an integer number (11809200).

Almost surely, 2^1056006072 is an apocalyptic number.

1056006072 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 1056006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700524800).

1056006072 is an abundant number, since it is smaller than the sum of its proper divisors (2345043528).

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

1056006072 is an equidigital number, since it uses as much as digits as its factorization.

1056006072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1056006072 is about 32496.2470448512. The cubic root of 1056006072 is about 1018.3306257248.

The spelling of 1056006072 in words is "one billion, fifty-six million, six thousand, seventy-two".