819733272 has 32 divisors (see below), whose sum is σ = 2056591680. Its totient is φ = 272276640.

The previous prime is 819733249. The next prime is 819733273. The reversal of 819733272 is 272337918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819733273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53554 + ... + 67137.

It is an arithmetic number, because the mean of its divisors is an integer number (64268490).

Almost surely, 2^819733272 is an apocalyptic number.

It is an amenable number.

819733272 is an abundant number, since it is smaller than the sum of its proper divisors (1236858408).

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

819733272 is a wasteful number, since it uses less digits than its factorization.

819733272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120983 (or 120979 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 819733272 is about 28630.9844748657. The cubic root of 819733272 is about 935.8886656239. Note that the first 3 decimals are identical.

The spelling of 819733272 in words is "eight hundred nineteen million, seven hundred thirty-three thousand, two hundred seventy-two".