72842660 has 48 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 26394240.

The previous prime is 72842657. The next prime is 72842669. The reversal of 72842660 is 6624827.

It is a self number, because there is not a number n which added to its sum of digits gives 72842660.

It is not an unprimeable number, because it can be changed into a prime (72842669) 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, 102386 + ... + 103094.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2^72842660 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 72842660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

72842660 is an abundant number, since it is smaller than the sum of its proper divisors (94626460).

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

72842660 is a wasteful number, since it uses less digits than its factorization.

72842660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 72842660 is about 8534.7911515162. The cubic root of 72842660 is about 417.6334400809.

The spelling of 72842660 in words is "seventy-two million, eight hundred forty-two thousand, six hundred sixty".