72186630 has 32 divisors (see below), whose sum is σ = 177933024. Its totient is φ = 18729216.

The previous prime is 72186629. The next prime is 72186649. The reversal of 72186630 is 3668127.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72186591 and 72186600.

It is a congruent number.

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, 31407 + ... + 33626.

It is an arithmetic number, because the mean of its divisors is an integer number (5560407).

Almost surely, 2^72186630 is an apocalyptic number.

72186630 is an abundant number, since it is smaller than the sum of its proper divisors (105746394).

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

72186630 is a wasteful number, since it uses less digits than its factorization.

72186630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65080.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72186630 is about 8496.2715352088. The cubic root of 72186630 is about 416.3759045227.

The spelling of 72186630 in words is "seventy-two million, one hundred eighty-six thousand, six hundred thirty".