1795072000 has 112 divisors (see below), whose sum is σ = 4482781992. Its totient is φ = 717619200.

The previous prime is 1795071997. The next prime is 1795072003. The reversal of 1795072000 is 2705971.

It is an interprime number because it is at equal distance from previous prime (1795071997) and next prime (1795072003).

It can be written as a sum of positive squares in 4 ways, for example, as 122589184 + 1672482816 = 11072^2 + 40896^2 .

It is not an unprimeable number, because it can be changed into a prime (1795072003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023124 + ... + 1024876.

Almost surely, 2^1795072000 is an apocalyptic number.

1795072000 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 1795072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241390996).

1795072000 is an abundant number, since it is smaller than the sum of its proper divisors (2687709992).

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

1795072000 is an frugal number, since it uses more digits than its factorization.

1795072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 1795072000 is about 42368.2900292188. The cubic root of 1795072000 is about 1215.3292699911.

Adding to 1795072000 its reverse (2705971), we get a palindrome (1797777971).

The spelling of 1795072000 in words is "one billion, seven hundred ninety-five million, seventy-two thousand".