72882 has 12 divisors (see below), whose sum is σ = 157950. Its totient is φ = 24288.

The previous prime is 72871. The next prime is 72883. The reversal of 72882 is 28827.

It can be written as a sum of positive squares in only one way, i.e., 68121 + 4761 = 261^2 + 69^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72882.

It is not an unprimeable number, because it can be changed into a prime (72883) by changing a digit.

72882 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, 2007 + ... + 2042.

2⁷²⁸⁸² is an apocalyptic number.

72882 is an abundant number, since it is smaller than the sum of its proper divisors (85068).

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

72882 is a wasteful number, since it uses less digits than its factorization.

72882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4054 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 72882 is about 269.9666646088. The cubic root of 72882 is about 41.7708610055.

It can be divided in two parts, 72 and 882, that multiplied together give a square (63504 = 252²).

The spelling of 72882 in words is "seventy-two thousand, eight hundred eighty-two".