72036624 has 120 divisors (see below), whose sum is σ = 208458880. Its totient is φ = 21415680.

The previous prime is 72036623. The next prime is 72036647. The reversal of 72036624 is 42663027.

It is a junction number, because it is equal to n+sod(n) for n = 72036591 and 72036600.

It is not an unprimeable number, because it can be changed into a prime (72036623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458754 + ... + 458910.

Almost surely, 2^72036624 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 72036624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104229440).

72036624 is an abundant number, since it is smaller than the sum of its proper divisors (136422256).

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

72036624 is a wasteful number, since it uses less digits than its factorization.

72036624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 72036624 is about 8487.4391897674. The cubic root of 72036624 is about 416.0872906073.

The spelling of 72036624 in words is "seventy-two million, thirty-six thousand, six hundred twenty-four".