72338585 has 16 divisors (see below), whose sum is σ = 95290560. Its totient is φ = 52280640.

The previous prime is 72338569. The next prime is 72338633. The reversal of 72338585 is 58583327.

It is not a de Polignac number, because 72338585 - 2⁴ = 72338569 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4931 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (5955660).

Almost surely, 2^72338585 is an apocalyptic number.

It is an amenable number.

72338585 is a deficient number, since it is larger than the sum of its proper divisors (22951975).

72338585 is a wasteful number, since it uses less digits than its factorization.

72338585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248.

The product of its digits is 201600, while the sum is 41.

The square root of 72338585 is about 8505.2092860787. The cubic root of 72338585 is about 416.6678609744.

The spelling of 72338585 in words is "seventy-two million, three hundred thirty-eight thousand, five hundred eighty-five".