42772000 has 144 divisors (see below), whose sum is σ = 114653448. Its totient is φ = 15667200.

The previous prime is 42771997. The next prime is 42772003. The reversal of 42772000 is 27724.

It is an interprime number because it is at equal distance from previous prime (42771997) and next prime (42772003).

It can be written as a sum of positive squares in 12 ways, for example, as 3984016 + 38787984 = 1996^2 + 6228^2 .

It is not an unprimeable number, because it can be changed into a prime (42772003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155982 + ... + 1156018.

Almost surely, 2^42772000 is an apocalyptic number.

42772000 is a gapful number since it is divisible by the number (40) 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 42772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57326724).

42772000 is an abundant number, since it is smaller than the sum of its proper divisors (71881448).

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

42772000 is a wasteful number, since it uses less digits than its factorization.

42772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 42772000 is about 6540.0305809683. The cubic root of 42772000 is about 349.7195031556.

Adding to 42772000 its reverse (27724), we get a palindrome (42799724).

It can be divided in two parts, 427 and 72000, that added together give a palindrome (72427).

The spelling of 42772000 in words is "forty-two million, seven hundred seventy-two thousand".