72236032 has 88 divisors (see below), whose sum is σ = 161827632. Its totient is φ = 32215040.

The previous prime is 72236011. The next prime is 72236051. The reversal of 72236032 is 23063227.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 72235988 and 72236006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362918 + ... + 1362970.

Almost surely, 2^72236032 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 72236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80913816).

72236032 is an abundant number, since it is smaller than the sum of its proper divisors (89591600).

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

72236032 is an equidigital number, since it uses as much as digits as its factorization.

72236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 72236032 is about 8499.1783132253. The cubic root of 72236032 is about 416.4708672224.

Adding to 72236032 its reverse (23063227), we get a palindrome (95299259).

The spelling of 72236032 in words is "seventy-two million, two hundred thirty-six thousand, thirty-two".