1061206272 has 216 divisors, whose sum is σ = 3627822016. Its totient is φ = 303077376.

The previous prime is 1061206271. The next prime is 1061206303. The reversal of 1061206272 is 2726021601.

1061206272 is a `hidden beast` number, since 10 + 6 + 1 + 20 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1061206272² = 2252317503464275968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1061206271) 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, 434238 + ... + 436674.

Almost surely, 2^1061206272 is an apocalyptic number.

1061206272 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 1061206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813911008).

1061206272 is an abundant number, since it is smaller than the sum of its proper divisors (2566615744).

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

1061206272 is an frugal number, since it uses more digits than its factorization.

1061206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1061206272 is about 32576.1610997981. The cubic root of 1061206272 is about 1019.9994463665. Note that the first 3 decimals are identical.

Adding to 1061206272 its reverse (2726021601), we get a palindrome (3787227873).

The spelling of 1061206272 in words is "one billion, sixty-one million, two hundred six thousand, two hundred seventy-two".