72202 has 8 divisors (see below), whose sum is σ = 116676. Its totient is φ = 33312.

The previous prime is 72173. The next prime is 72211. The reversal of 72202 is 20227.

72202 = T₁₈₈ + T₁₈₉ + ... + T₁₉₁.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 10201 = 249^2 + 101^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

72202 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 3 ways as a sum of consecutive naturals, for example, 1363 + ... + 1414.

2⁷²²⁰² is an apocalyptic number.

72202 is a deficient number, since it is larger than the sum of its proper divisors (44474).

72202 is a wasteful number, since it uses less digits than its factorization.

72202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792.

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 72202 is about 268.7042984398. The cubic root of 72202 is about 41.6405454055.

Adding to 72202 its reverse (20227), we get a palindrome (92429).

It can be divided in two parts, 7 and 2202, that added together give a square (2209 = 47²).

The spelling of 72202 in words is "seventy-two thousand, two hundred two", and thus it is an iban number.