825072 has 20 divisors (see below), whose sum is σ = 2131560. Its totient is φ = 275008.

The previous prime is 825067. The next prime is 825073. The reversal of 825072 is 270528.

825072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825073) by changing a digit.

825072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8547 + ... + 8642.

It is an arithmetic number, because the mean of its divisors is an integer number (106578).

2⁸²⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

825072 is an abundant number, since it is smaller than the sum of its proper divisors (1306488).

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

825072 is a wasteful number, since it uses less digits than its factorization.

825072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200 (or 17194 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 825072 is about 908.3347400601. The cubic root of 825072 is about 93.7916010925.

The spelling of 825072 in words is "eight hundred twenty-five thousand, seventy-two".