1072067600 has 120 divisors (see below), whose sum is σ = 2801514888. Its totient is φ = 392601600.

The previous prime is 1072067597. The next prime is 1072067627. The reversal of 1072067600 is 67602701.

It can be written as a sum of positive squares in 12 ways, for example, as 21270544 + 1050797056 = 4612^2 + 32416^2 .

It is a super-2 number, since 2×1072067600² = 2298657877939520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249470 + ... + 253730.

Almost surely, 2^1072067600 is an apocalyptic number.

1072067600 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 1072067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400757444).

1072067600 is an abundant number, since it is smaller than the sum of its proper divisors (1729447288).

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

1072067600 is a wasteful number, since it uses less digits than its factorization.

1072067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1072067600 is about 32742.4434030205. The cubic root of 1072067600 is about 1023.4675016631.

The spelling of 1072067600 in words is "one billion, seventy-two million, sixty-seven thousand, six hundred".