10772000 has 48 divisors (see below), whose sum is σ = 26476632. Its totient is φ = 4307200.

The previous prime is 10771997. The next prime is 10772009. The reversal of 10772000 is 27701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 8042896 = 1652^2 + 2836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10772000.

It is not an unprimeable number, because it can be changed into a prime (10772009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2654 + ... + 5346.

Almost surely, 2^10772000 is an apocalyptic number.

10772000 is a gapful number since it is divisible by the number (10) 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 10772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238316).

10772000 is an abundant number, since it is smaller than the sum of its proper divisors (15704632).

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

10772000 is an equidigital number, since it uses as much as digits as its factorization.

10772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 10772000 is about 3282.0725159570. The cubic root of 10772000 is about 220.8507007424.

Adding to 10772000 its reverse (27701), we get a palindrome (10799701).

The spelling of 10772000 in words is "ten million, seven hundred seventy-two thousand".