10772071272 has 48 divisors (see below), whose sum is σ = 29194347780. Its totient is φ = 3588230400.

The previous prime is 10772071243. The next prime is 10772071279. The reversal of 10772071272 is 27217027701.

It can be written as a sum of positive squares in 2 ways, for example, as 9274845636 + 1497225636 = 96306^2 + 38694^2 .

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 (10772071279) 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 11 ways as a sum of consecutive naturals, for example, 56122 + ... + 157142.

Almost surely, 2^10772071272 is an apocalyptic number.

10772071272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10772071272 is an abundant number, since it is smaller than the sum of its proper divisors (18422276508).

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

10772071272 is a wasteful number, since it uses less digits than its factorization.

10772071272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102514 (or 102507 counting only the distinct ones).

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

Adding to 10772071272 its reverse (27217027701), we get a palindrome (37989098973).

The spelling of 10772071272 in words is "ten billion, seven hundred seventy-two million, seventy-one thousand, two hundred seventy-two".