72605260 has 144 divisors (see below), whose sum is σ = 197074080. Its totient is φ = 22256640.

The previous prime is 72605243. The next prime is 72605279. The reversal of 72605260 is 6250627.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522271 + ... + 522409.

It is an arithmetic number, because the mean of its divisors is an integer number (1368570).

Almost surely, 2^72605260 is an apocalyptic number.

72605260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72605260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98537040).

72605260 is an abundant number, since it is smaller than the sum of its proper divisors (124468820).

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

72605260 is a wasteful number, since it uses less digits than its factorization.

72605260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72605260 is about 8520.8720211021. The cubic root of 72605260 is about 417.1792461487.

Adding to 72605260 its reverse (6250627), we get a palindrome (78855887).

The spelling of 72605260 in words is "seventy-two million, six hundred five thousand, two hundred sixty".