1077712272 has 360 divisors, whose sum is σ = 3910583040. Its totient is φ = 274337280.

The previous prime is 1077712271. The next prime is 1077712277. The reversal of 1077712272 is 2722177701.

It is a super-2 number, since 2×1077712272² = 2322927482438803968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1077712271) 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 71 ways as a sum of consecutive naturals, for example, 2843379 + ... + 2843757.

Almost surely, 2^1077712272 is an apocalyptic number.

1077712272 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 1077712272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955291520).

1077712272 is an abundant number, since it is smaller than the sum of its proper divisors (2832870768).

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

1077712272 is a wasteful number, since it uses less digits than its factorization.

1077712272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 1077712272 is about 32828.5283252235. The cubic root of 1077712272 is about 1025.2606188766.

Adding to 1077712272 its reverse (2722177701), we get a palindrome (3799889973).

The spelling of 1077712272 in words is "one billion, seventy-seven million, seven hundred twelve thousand, two hundred seventy-two".