72369860 has 72 divisors (see below), whose sum is σ = 165372480. Its totient is φ = 26526528.

The previous prime is 72369859. The next prime is 72369863. The reversal of 72369860 is 6896327.

It is not an unprimeable number, because it can be changed into a prime (72369863) 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, 702569 + ... + 702671.

It is an arithmetic number, because the mean of its divisors is an integer number (2296840).

Almost surely, 2^72369860 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 72369860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82686240).

72369860 is an abundant number, since it is smaller than the sum of its proper divisors (93002620).

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

72369860 is a wasteful number, since it uses less digits than its factorization.

72369860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 72369860 is about 8507.0476664939. The cubic root of 72369860 is about 416.7278999785.

The spelling of 72369860 in words is "seventy-two million, three hundred sixty-nine thousand, eight hundred sixty".