72185082 has 32 divisors (see below), whose sum is σ = 147740544. Its totient is φ = 23505600.

The previous prime is 72185053. The next prime is 72185083. The reversal of 72185082 is 28058127.

It is not an unprimeable number, because it can be changed into a prime (72185083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60532 + ... + 61712.

It is an arithmetic number, because the mean of its divisors is an integer number (4616892).

Almost surely, 2^72185082 is an apocalyptic number.

72185082 is an abundant number, since it is smaller than the sum of its proper divisors (75555462).

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

72185082 is a wasteful number, since it uses less digits than its factorization.

72185082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 72185082 is about 8496.1804359371. The cubic root of 72185082 is about 416.3729281889.

The spelling of 72185082 in words is "seventy-two million, one hundred eighty-five thousand, eighty-two".