72013185 has 32 divisors (see below), whose sum is σ = 128400000. Its totient is φ = 38294208.

The previous prime is 72013181. The next prime is 72013187. The reversal of 72013185 is 58131027.

It is not a de Polignac number, because 72013185 - 2² = 72013181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72013181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66831 + ... + 67899.

It is an arithmetic number, because the mean of its divisors is an integer number (4012500).

Almost surely, 2^72013185 is an apocalyptic number.

It is an amenable number.

72013185 is a deficient number, since it is larger than the sum of its proper divisors (56386815).

72013185 is a wasteful number, since it uses less digits than its factorization.

72013185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72013185 is about 8486.0582722487. The cubic root of 72013185 is about 416.0421574171.

The spelling of 72013185 in words is "seventy-two million, thirteen thousand, one hundred eighty-five".