820723272 has 16 divisors (see below), whose sum is σ = 2051808240. Its totient is φ = 273574416.

The previous prime is 820723249. The next prime is 820723279. The reversal of 820723272 is 272327028.

820723272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (820723279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17098378 + ... + 17098425.

It is an arithmetic number, because the mean of its divisors is an integer number (128238015).

Almost surely, 2^820723272 is an apocalyptic number.

It is an amenable number.

820723272 is an abundant number, since it is smaller than the sum of its proper divisors (1231084968).

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

820723272 is a wasteful number, since it uses less digits than its factorization.

820723272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34196812 (or 34196808 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 820723272 is about 28648.2682199117. The cubic root of 820723272 is about 936.2652747265.

The spelling of 820723272 in words is "eight hundred twenty million, seven hundred twenty-three thousand, two hundred seventy-two".