72350736 has 40 divisors (see below), whose sum is σ = 188574240. Its totient is φ = 23901696.

The previous prime is 72350731. The next prime is 72350743. The reversal of 72350736 is 63705327.

It is a junction number, because it is equal to n+sod(n) for n = 72350697 and 72350706.

It is not an unprimeable number, because it can be changed into a prime (72350731) 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 7 ways as a sum of consecutive naturals, for example, 1246 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (4714356).

Almost surely, 2^72350736 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 72350736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94287120).

72350736 is an abundant number, since it is smaller than the sum of its proper divisors (116223504).

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

72350736 is a wasteful number, since it uses less digits than its factorization.

72350736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463 (or 13457 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 72350736 is about 8505.9235830097. The cubic root of 72350736 is about 416.6911894545.

The spelling of 72350736 in words is "seventy-two million, three hundred fifty thousand, seven hundred thirty-six".