1230705072 has 120 divisors (see below), whose sum is σ = 3709115280. Its totient is φ = 379514880.

The previous prime is 1230705059. The next prime is 1230705109. The reversal of 1230705072 is 2705070321.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 140172 + ... + 148692.

It is an arithmetic number, because the mean of its divisors is an integer number (30909294).

Almost surely, 2^1230705072 is an apocalyptic number.

1230705072 is a gapful number since it is divisible by the number (12) 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 1230705072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854557640).

1230705072 is an abundant number, since it is smaller than the sum of its proper divisors (2478410208).

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

1230705072 is a wasteful number, since it uses less digits than its factorization.

1230705072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1230705072 is about 35081.4063572144. The cubic root of 1230705072 is about 1071.6459577497.

Adding to 1230705072 its reverse (2705070321), we get a palindrome (3935775393).

The spelling of 1230705072 in words is "one billion, two hundred thirty million, seven hundred five thousand, seventy-two".