72720060 has 144 divisors (see below), whose sum is σ = 240834048. Its totient is φ = 16058880.

The previous prime is 72720041. The next prime is 72720061. The reversal of 72720060 is 6002727.

It is a self number, because there is not a number n which added to its sum of digits gives 72720060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72720061) 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, 705969 + ... + 706071.

Almost surely, 2^72720060 is an apocalyptic number.

72720060 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 72720060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120417024).

72720060 is an abundant number, since it is smaller than the sum of its proper divisors (168113988).

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

72720060 is a wasteful number, since it uses less digits than its factorization.

72720060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72720060 is about 8527.6057601181. The cubic root of 72720060 is about 417.3990050568.

Adding to 72720060 its reverse (6002727), we get a palindrome (78722787).

The spelling of 72720060 in words is "seventy-two million, seven hundred twenty thousand, sixty".