72186520 has 64 divisors (see below), whose sum is σ = 187499520. Its totient is φ = 24499584.

The previous prime is 72186509. The next prime is 72186523. The reversal of 72186520 is 2568127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72186523) by changing a digit.

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, 27589 + ... + 30091.

It is an arithmetic number, because the mean of its divisors is an integer number (2929680).

Almost surely, 2^72186520 is an apocalyptic number.

72186520 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 72186520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93749760).

72186520 is an abundant number, since it is smaller than the sum of its proper divisors (115313000).

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

72186520 is a wasteful number, since it uses less digits than its factorization.

72186520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 72186520 is about 8496.2650617786. The cubic root of 72186520 is about 416.3756930275.

The spelling of 72186520 in words is "seventy-two million, one hundred eighty-six thousand, five hundred twenty".