1772120224 has 48 divisors (see below), whose sum is σ = 4054881600. Its totient is φ = 746601984.

The previous prime is 1772120221. The next prime is 1772120237. The reversal of 1772120224 is 4220212771.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1772120192 and 1772120201.

It is not an unprimeable number, because it can be changed into a prime (1772120221) 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 7 ways as a sum of consecutive naturals, for example, 53829 + ... + 80260.

It is an arithmetic number, because the mean of its divisors is an integer number (84476700).

Almost surely, 2^1772120224 is an apocalyptic number.

1772120224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1772120224 is an abundant number, since it is smaller than the sum of its proper divisors (2282761376).

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

1772120224 is a wasteful number, since it uses less digits than its factorization.

1772120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134165 (or 134157 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 1772120224 is about 42096.5583391327. The cubic root of 1772120224 is about 1210.1273057777.

Adding to 1772120224 its reverse (4220212771), we get a palindrome (5992332995).

The spelling of 1772120224 in words is "one billion, seven hundred seventy-two million, one hundred twenty thousand, two hundred twenty-four".