72812 has 12 divisors (see below), whose sum is σ = 129360. Its totient is φ = 35856.

The previous prime is 72797. The next prime is 72817. The reversal of 72812 is 21827.

It is not an unprimeable number, because it can be changed into a prime (72817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2⁷²⁸¹² is an apocalyptic number.

It is an amenable number.

72812 is a deficient number, since it is larger than the sum of its proper divisors (56548).

72812 is a wasteful number, since it uses less digits than its factorization.

72812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

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

The square root of 72812 is about 269.8369878278. The cubic root of 72812 is about 41.7574836884.

The spelling of 72812 in words is "seventy-two thousand, eight hundred twelve".