4412772 has 96 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1161216.

The previous prime is 4412753. The next prime is 4412773. The reversal of 4412772 is 2772144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4412773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9604 + ... + 10052.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 2^4412772 is an apocalyptic number.

4412772 is a gapful number since it is divisible by the number (42) 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 4412772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4412772 is an abundant number, since it is smaller than the sum of its proper divisors (9699228).

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

4412772 is a wasteful number, since it uses less digits than its factorization.

4412772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 4412772 is about 2100.6598963183. The cubic root of 4412772 is about 164.0226520367.

It can be divided in two parts, 4412 and 772, that added together give a square (5184 = 72²).

The spelling of 4412772 in words is "four million, four hundred twelve thousand, seven hundred seventy-two".