10772424 has 96 divisors (see below), whose sum is σ = 33316920. Its totient is φ = 3115008.

The previous prime is 10772413. The next prime is 10772453. The reversal of 10772424 is 42427701.

It is a happy number.

10772424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10692900 + 79524 = 3270^2 + 282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15574 + ... + 16250.

Almost surely, 2^10772424 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 10772424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658460).

10772424 is an abundant number, since it is smaller than the sum of its proper divisors (22544496).

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

10772424 is a wasteful number, since it uses less digits than its factorization.

10772424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10772424 is about 3282.1371086534. The cubic root of 10772424 is about 220.8535983618.

The spelling of 10772424 in words is "ten million, seven hundred seventy-two thousand, four hundred twenty-four".