72018520 has 128 divisors (see below), whose sum is σ = 197821440. Its totient is φ = 23063040.

The previous prime is 72018503. The next prime is 72018547. The reversal of 72018520 is 2581027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341215 + ... + 341425.

It is an arithmetic number, because the mean of its divisors is an integer number (1545480).

Almost surely, 2^72018520 is an apocalyptic number.

72018520 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 72018520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98910720).

72018520 is an abundant number, since it is smaller than the sum of its proper divisors (125802920).

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

72018520 is a wasteful number, since it uses less digits than its factorization.

72018520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 72018520 is about 8486.3726055365. The cubic root of 72018520 is about 416.0524311380.

Adding to 72018520 its reverse (2581027), we get a palindrome (74599547).

The spelling of 72018520 in words is "seventy-two million, eighteen thousand, five hundred twenty".