72802 has 8 divisors (see below), whose sum is σ = 110700. Its totient is φ = 35904.

The previous prime is 72797. The next prime is 72817. The reversal of 72802 is 20827.

It can be written as a sum of positive squares in 2 ways, for example, as 72361 + 441 = 269^2 + 21^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 72802.

It is a congruent number.

It is an unprimeable number.

72802 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, 27 + ... + 382.

2⁷²⁸⁰² is an apocalyptic number.

72802 is a deficient number, since it is larger than the sum of its proper divisors (37898).

72802 is a wasteful number, since it uses less digits than its factorization.

72802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 72802 is about 269.8184574858. The cubic root of 72802 is about 41.7555719433.

It can be divided in two parts, 7 and 2802, that added together give a square (2809 = 53²).

The spelling of 72802 in words is "seventy-two thousand, eight hundred two".