806130072 has 144 divisors (see below), whose sum is σ = 2541422520. Its totient is φ = 229870080.

The previous prime is 806130071. The next prime is 806130079. The reversal of 806130072 is 270031608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806130071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145383 + ... + 150825.

Almost surely, 2^806130072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806130072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270711260).

806130072 is an abundant number, since it is smaller than the sum of its proper divisors (1735292448).

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

806130072 is a wasteful number, since it uses less digits than its factorization.

806130072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 806130072 is about 28392.4298361377. The cubic root of 806130072 is about 930.6828422471.

The spelling of 806130072 in words is "eight hundred six million, one hundred thirty thousand, seventy-two".