4100772 has 48 divisors (see below), whose sum is σ = 10449152. Its totient is φ = 1244160.

The previous prime is 4100749. The next prime is 4100777. The reversal of 4100772 is 2770014.

4100772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4100777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14997 + ... + 15267.

Almost surely, 2^4100772 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 4100772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224576).

4100772 is an abundant number, since it is smaller than the sum of its proper divisors (6348380).

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

4100772 is a wasteful number, since it uses less digits than its factorization.

4100772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 4100772 is about 2025.0362959710. The cubic root of 4100772 is about 160.0621113022.

Adding to 4100772 its reverse (2770014), we get a palindrome (6870786).

The spelling of 4100772 in words is "four million, one hundred thousand, seven hundred seventy-two".