10772356 has 72 divisors (see below), whose sum is σ = 24045336. Its totient is φ = 4193280.

The previous prime is 10772329. The next prime is 10772371. The reversal of 10772356 is 65327701.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 9486400 = 1134^2 + 3080^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176566 + ... + 176626.

It is an arithmetic number, because the mean of its divisors is an integer number (333963).

Almost surely, 2^10772356 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 10772356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022668).

10772356 is an abundant number, since it is smaller than the sum of its proper divisors (13272980).

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

10772356 is a wasteful number, since it uses less digits than its factorization.

10772356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 10772356 is about 3282.1267495330. The cubic root of 10772356 is about 220.8531336544.

The spelling of 10772356 in words is "ten million, seven hundred seventy-two thousand, three hundred fifty-six".