830072 has 32 divisors (see below), whose sum is σ = 1689600. Its totient is φ = 381024.

The previous prime is 830051. The next prime is 830099. The reversal of 830072 is 270038.

830072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6473 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (52800).

2⁸³⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

830072 is an abundant number, since it is smaller than the sum of its proper divisors (859528).

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

830072 is a wasteful number, since it uses less digits than its factorization.

830072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 830072 is about 911.0828721911. The cubic root of 830072 is about 93.9806811061.

The spelling of 830072 in words is "eight hundred thirty thousand, seventy-two".