1072033220 has 48 divisors (see below), whose sum is σ = 2366437248. Its totient is φ = 407151360.

The previous prime is 1072033211. The next prime is 1072033241. The reversal of 1072033220 is 223302701.

It is a super-2 number, since 2×1072033220² = 2298510449567136800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1072033192 and 1072033201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54515 + ... + 71525.

It is an arithmetic number, because the mean of its divisors is an integer number (49300776).

Almost surely, 2^1072033220 is an apocalyptic number.

1072033220 is a gapful number since it is divisible by the number (10) 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 1072033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183218624).

1072033220 is an abundant number, since it is smaller than the sum of its proper divisors (1294404028).

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

1072033220 is a wasteful number, since it uses less digits than its factorization.

1072033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17178 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 1072033220 is about 32741.9183921773. The cubic root of 1072033220 is about 1023.4565610629.

Adding to 1072033220 its reverse (223302701), we get a palindrome (1295335921).

The spelling of 1072033220 in words is "one billion, seventy-two million, thirty-three thousand, two hundred twenty".