820372 has 24 divisors (see below), whose sum is σ = 1665216. Its totient is φ = 346368.

The previous prime is 820367. The next prime is 820399. The reversal of 820372 is 273028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2148 + ... + 2500.

It is an arithmetic number, because the mean of its divisors is an integer number (69384).

2⁸²⁰³⁷² is an apocalyptic number.

It is an amenable number.

820372 is an abundant number, since it is smaller than the sum of its proper divisors (844844).

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

820372 is a wasteful number, since it uses less digits than its factorization.

820372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 820372 is about 905.7438931619. The cubic root of 820372 is about 93.6131680892.

The spelling of 820372 in words is "eight hundred twenty thousand, three hundred seventy-two".