820072 has 16 divisors (see below), whose sum is σ = 1677600. Its totient is φ = 372720.

The previous prime is 820067. The next prime is 820073. The reversal of 820072 is 270028.

It is not an unprimeable number, because it can be changed into a prime (820073) by changing a digit.

820072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4572 + ... + 4747.

It is an arithmetic number, because the mean of its divisors is an integer number (104850).

2⁸²⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

820072 is an abundant number, since it is smaller than the sum of its proper divisors (857528).

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

820072 is a wasteful number, since it uses less digits than its factorization.

820072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9336 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 820072 is about 905.5782682905. The cubic root of 820072 is about 93.6017556346.

The spelling of 820072 in words is "eight hundred twenty thousand, seventy-two".