812072 has 16 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 400816.

The previous prime is 812057. The next prime is 812081. The reversal of 812072 is 270218.

It is an unprimeable number.

812072 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 53 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2⁸¹²⁰⁷² is an apocalyptic number.

It is an amenable number.

812072 is a deficient number, since it is larger than the sum of its proper divisors (730168).

812072 is a wasteful number, since it uses less digits than its factorization.

812072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 812072 is about 901.1503759085. The cubic root of 812072 is about 93.2963912757.

It can be divided in two parts, 8120 and 72, that added together give a 13-th power (8192 = 2¹³).

The spelling of 812072 in words is "eight hundred twelve thousand, seventy-two".