72315660 has 48 divisors (see below), whose sum is σ = 203868000. Its totient is φ = 19152384.

The previous prime is 72315641. The next prime is 72315673. The reversal of 72315660 is 6651327.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4896 + ... + 12984.

It is an arithmetic number, because the mean of its divisors is an integer number (4247250).

Almost surely, 2^72315660 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 72315660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101934000).

72315660 is an abundant number, since it is smaller than the sum of its proper divisors (131552340).

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

72315660 is a wasteful number, since it uses less digits than its factorization.

72315660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 72315660 is about 8503.8614758238. The cubic root of 72315660 is about 416.6238405762.

Adding to 72315660 its reverse (6651327), we get a palindrome (78966987).

The spelling of 72315660 in words is "seventy-two million, three hundred fifteen thousand, six hundred sixty".