72922 has 12 divisors (see below), whose sum is σ = 116586. Its totient is φ = 34200.

The previous prime is 72911. The next prime is 72923. The reversal of 72922 is 22927.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 29241 = 209^2 + 171^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72893 and 72902.

It is not an unprimeable number, because it can be changed into a prime (72923) by changing a digit.

72922 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 5 ways as a sum of consecutive naturals, for example, 672 + ... + 772.

2⁷²⁹²² is an apocalyptic number.

72922 is a deficient number, since it is larger than the sum of its proper divisors (43664).

72922 is a wasteful number, since it uses less digits than its factorization.

72922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 72922 is about 270.0407376675. The cubic root of 72922 is about 41.7785013414.

Subtracting from 72922 its sum of digits (22), we obtain a square (72900 = 270²).

The spelling of 72922 in words is "seventy-two thousand, nine hundred twenty-two".