10772736 has 108 divisors (see below), whose sum is σ = 31420368. Its totient is φ = 3274752.

The previous prime is 10772701. The next prime is 10772737. The reversal of 10772736 is 63727701.

It is a junction number, because it is equal to n+sod(n) for n = 10772697 and 10772706.

It is not an unprimeable number, because it can be changed into a prime (10772737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129751 + ... + 129833.

Almost surely, 2^10772736 is an apocalyptic number.

10772736 is a gapful number since it is divisible by the number (16) 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 10772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710184).

10772736 is an abundant number, since it is smaller than the sum of its proper divisors (20647632).

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

10772736 is an equidigital number, since it uses as much as digits as its factorization.

10772736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 10772736 is about 3282.1846383164. The cubic root of 10772736 is about 220.8557305238.

The spelling of 10772736 in words is "ten million, seven hundred seventy-two thousand, seven hundred thirty-six".