1072166656 has 144 divisors (see below), whose sum is σ = 2546006400. Its totient is φ = 445132800.

The previous prime is 1072166647. The next prime is 1072166657. The reversal of 1072166656 is 6566612701.

It is a super-2 number, since 2×1072166656² = 2299082676476444672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072166657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551271 + ... + 1551961.

It is an arithmetic number, because the mean of its divisors is an integer number (17680600).

Almost surely, 2^1072166656 is an apocalyptic number.

1072166656 is a gapful number since it is divisible by the number (16) 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 1072166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273003200).

1072166656 is an abundant number, since it is smaller than the sum of its proper divisors (1473839744).

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

1072166656 is a wasteful number, since it uses less digits than its factorization.

1072166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1072166656 is about 32743.9560224479. The cubic root of 1072166656 is about 1023.4990225220.

It can be divided in two parts, 10721 and 66656, that added together give a palindrome (77377).

The spelling of 1072166656 in words is "one billion, seventy-two million, one hundred sixty-six thousand, six hundred fifty-six".