1072643200 has 96 divisors (see below), whose sum is σ = 2689850160. Its totient is φ = 422568960.

The previous prime is 1072643197. The next prime is 1072643251. The reversal of 1072643200 is 23462701.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211899 + ... + 216901.

Almost surely, 2^1072643200 is an apocalyptic number.

1072643200 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 1072643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344925080).

1072643200 is an abundant number, since it is smaller than the sum of its proper divisors (1617206960).

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

1072643200 is an equidigital number, since it uses as much as digits as its factorization.

1072643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1072643200 is about 32751.2320378944. The cubic root of 1072643200 is about 1023.6506376561.

The spelling of 1072643200 in words is "one billion, seventy-two million, six hundred forty-three thousand, two hundred".