10772118 has 96 divisors (see below), whose sum is σ = 29113344. Its totient is φ = 2808576.

The previous prime is 10772093. The next prime is 10772129. The reversal of 10772118 is 81127701.

10772118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10772091 and 10772100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100621 + ... + 100727.

It is an arithmetic number, because the mean of its divisors is an integer number (303264).

Almost surely, 2^10772118 is an apocalyptic number.

10772118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10772118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556672).

10772118 is an abundant number, since it is smaller than the sum of its proper divisors (18341226).

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

10772118 is a wasteful number, since it uses less digits than its factorization.

10772118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 10772118 is about 3282.0904923539. The cubic root of 10772118 is about 220.8515071630.

Adding to 10772118 its reverse (81127701), we get a palindrome (91899819).

The spelling of 10772118 in words is "ten million, seven hundred seventy-two thousand, one hundred eighteen".