72624189 has 16 divisors (see below), whose sum is σ = 106254144. Its totient is φ = 43756800.

The previous prime is 72624143. The next prime is 72624197. The reversal of 72624189 is 98142627.

It is not a de Polignac number, because 72624189 - 2¹³ = 72615997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72624109) 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 15 ways as a sum of consecutive naturals, for example, 652 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (6640884).

Almost surely, 2^72624189 is an apocalyptic number.

It is an amenable number.

72624189 is a deficient number, since it is larger than the sum of its proper divisors (33629955).

72624189 is a wasteful number, since it uses less digits than its factorization.

72624189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12908.

The product of its digits is 48384, while the sum is 39.

The square root of 72624189 is about 8521.9826918388. The cubic root of 72624189 is about 417.2154974239.

The spelling of 72624189 in words is "seventy-two million, six hundred twenty-four thousand, one hundred eighty-nine".