823072272 has 160 divisors (see below), whose sum is σ = 2509553664. Its totient is φ = 229632000.

The previous prime is 823072247. The next prime is 823072277. The reversal of 823072272 is 272270328.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (823072277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420897 + ... + 422847.

Almost surely, 2^823072272 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 823072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254776832).

823072272 is an abundant number, since it is smaller than the sum of its proper divisors (1686481392).

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

823072272 is a wasteful number, since it uses less digits than its factorization.

823072272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

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

The square root of 823072272 is about 28689.2361696857. The cubic root of 823072272 is about 937.1576551975.

The spelling of 823072272 in words is "eight hundred twenty-three million, seventy-two thousand, two hundred seventy-two".