1072033218 has 20 divisors (see below), whose sum is σ = 2402148870. Its totient is φ = 357344352.

The previous prime is 1072033211. The next prime is 1072033241. The reversal of 1072033218 is 8123302701.

It can be written as a sum of positive squares in only one way, i.e., 889053489 + 182979729 = 29817^2 + 13527^2 .

It is a super-2 number, since 2×1072033218² = 2298510440990871048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1072033191 and 1072033200.

It is not an unprimeable number, because it can be changed into a prime (1072033211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3308583 + ... + 3308906.

Almost surely, 2^1072033218 is an apocalyptic number.

1072033218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1072033218 is an abundant number, since it is smaller than the sum of its proper divisors (1330115652).

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

1072033218 is an equidigital number, since it uses as much as digits as its factorization.

1072033218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617503 (or 6617494 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1072033218 is about 32741.9183616354. The cubic root of 1072033218 is about 1023.4565604265.

Adding to 1072033218 its reverse (8123302701), we get a palindrome (9195335919).

The spelling of 1072033218 in words is "one billion, seventy-two million, thirty-three thousand, two hundred eighteen".