72647436 has 48 divisors (see below), whose sum is σ = 177085440. Its totient is φ = 23150400.

The previous prime is 72647417. The next prime is 72647437. The reversal of 72647436 is 63474627.

It is a junction number, because it is equal to n+sod(n) for n = 72647394 and 72647403.

It is not an unprimeable number, because it can be changed into a prime (72647437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36261 + ... + 38211.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2^72647436 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 72647436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720).

72647436 is an abundant number, since it is smaller than the sum of its proper divisors (104438004).

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

72647436 is a wasteful number, since it uses less digits than its factorization.

72647436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 72647436 is about 8523.3465258665. The cubic root of 72647436 is about 417.2600095628.

The spelling of 72647436 in words is "seventy-two million, six hundred forty-seven thousand, four hundred thirty-six".