1072000320 has 112 divisors (see below), whose sum is σ = 3482888640. Its totient is φ = 279207936.

The previous prime is 1072000289. The next prime is 1072000327. The reversal of 1072000320 is 230002701.

It is a super-2 number, since 2×1072000320² = 2298369372160204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1072000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072000327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28296 + ... + 54264.

It is an arithmetic number, because the mean of its divisors is an integer number (31097220).

Almost surely, 2^1072000320 is an apocalyptic number.

1072000320 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 1072000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741444320).

1072000320 is an abundant number, since it is smaller than the sum of its proper divisors (2410888320).

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

1072000320 is a wasteful number, since it uses less digits than its factorization.

1072000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26032 (or 26022 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1072000320 is about 32741.4159742672. The cubic root of 1072000320 is about 1023.4460912178.

The spelling of 1072000320 in words is "one billion, seventy-two million, three hundred twenty", and thus it is an aban number.