72284436 has 144 divisors (see below), whose sum is σ = 227368960. Its totient is φ = 18895680.

The previous prime is 72284431. The next prime is 72284479. The reversal of 72284436 is 63448227.

72284436 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72284436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72284431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148185 + ... + 148671.

Almost surely, 2^72284436 is an apocalyptic number.

72284436 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72284436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113684480).

72284436 is an abundant number, since it is smaller than the sum of its proper divisors (155084524).

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

72284436 is a wasteful number, since it uses less digits than its factorization.

72284436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72284436 is about 8502.0254057489. The cubic root of 72284436 is about 416.5638695385.

It can be divided in two parts, 7228 and 4436, that added together give a square (11664 = 108²).

The spelling of 72284436 in words is "seventy-two million, two hundred eighty-four thousand, four hundred thirty-six".