72709260 has 144 divisors (see below), whose sum is σ = 228882528. Its totient is φ = 17141760.

The previous prime is 72709253. The next prime is 72709261. The reversal of 72709260 is 6290727.

It is not an unprimeable number, because it can be changed into a prime (72709261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749532 + ... + 749628.

It is an arithmetic number, because the mean of its divisors is an integer number (1589462).

Almost surely, 2^72709260 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 72709260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114441264).

72709260 is an abundant number, since it is smaller than the sum of its proper divisors (156173268).

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

72709260 is a wasteful number, since it uses less digits than its factorization.

72709260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72709260 is about 8526.9724990761. The cubic root of 72709260 is about 417.3783407338.

Adding to 72709260 its reverse (6290727), we get a palindrome (78999987).

The spelling of 72709260 in words is "seventy-two million, seven hundred nine thousand, two hundred sixty".