72436 has 24 divisors (see below), whose sum is σ = 156800. Its totient is φ = 28512.

The previous prime is 72431. The next prime is 72461. The reversal of 72436 is 63427.

72436 = T₉₉ + T₁₀₀ + ... + T₁₁₁.

72436 = 43² + 44² + ... + 66².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72431) by changing a digit.

72436 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 7 ways as a sum of consecutive naturals, for example, 265 + ... + 463.

2⁷²⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78400).

72436 is an abundant number, since it is smaller than the sum of its proper divisors (84364).

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

72436 is a wasteful number, since it uses less digits than its factorization.

72436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 72436 is about 269.1393691008. The cubic root of 72436 is about 41.6854812807.

Subtracting from 72436 its reverse (63427), we obtain a palindrome (9009).

The spelling of 72436 in words is "seventy-two thousand, four hundred thirty-six".