10772064 has 72 divisors (see below), whose sum is σ = 30997512. Its totient is φ = 3548160.

The previous prime is 10772057. The next prime is 10772077. The reversal of 10772064 is 46027701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32379 + ... + 32709.

It is an arithmetic number, because the mean of its divisors is an integer number (430521).

Almost surely, 2^10772064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498756).

10772064 is an abundant number, since it is smaller than the sum of its proper divisors (20225448).

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

10772064 is a wasteful number, since it uses less digits than its factorization.

10772064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10772064 is about 3282.0822658794. The cubic root of 10772064 is about 220.8511381238.

Adding to 10772064 its reverse (46027701), we get a palindrome (56799765).

The spelling of 10772064 in words is "ten million, seven hundred seventy-two thousand, sixty-four".