72309006 has 144 divisors (see below), whose sum is σ = 206472240. Its totient is φ = 18063360.

The previous prime is 72309001. The next prime is 72309023. The reversal of 72309006 is 60090327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72309001) 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 71 ways as a sum of consecutive naturals, for example, 281230 + ... + 281486.

It is an arithmetic number, because the mean of its divisors is an integer number (1433835).

Almost surely, 2^72309006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72309006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103236120).

72309006 is an abundant number, since it is smaller than the sum of its proper divisors (134163234).

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

72309006 is a wasteful number, since it uses less digits than its factorization.

72309006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72309006 is about 8503.4702327932. The cubic root of 72309006 is about 416.6110618776.

The spelling of 72309006 in words is "seventy-two million, three hundred nine thousand, six".