72130560 has 112 divisors (see below), whose sum is σ = 231196896. Its totient is φ = 19202048.

The previous prime is 72130559. The next prime is 72130567. The reversal of 72130560 is 6503127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72130560.

It is not an unprimeable number, because it can be changed into a prime (72130567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122587 + ... + 123173.

It is an arithmetic number, because the mean of its divisors is an integer number (2064258).

Almost surely, 2^72130560 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 72130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115598448).

72130560 is an abundant number, since it is smaller than the sum of its proper divisors (159066336).

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

72130560 is an equidigital number, since it uses as much as digits as its factorization.

72130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 72130560 is about 8492.9712115372. The cubic root of 72130560 is about 416.2680717925.

Adding to 72130560 its reverse (6503127), we get a palindrome (78633687).

The spelling of 72130560 in words is "seventy-two million, one hundred thirty thousand, five hundred sixty".