72038320 has 40 divisors (see below), whose sum is σ = 173270160. Its totient is φ = 27820800.

The previous prime is 72038293. The next prime is 72038359. The reversal of 72038320 is 2383027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13206 + ... + 17845.

It is an arithmetic number, because the mean of its divisors is an integer number (4331754).

Almost surely, 2^72038320 is an apocalyptic number.

It is an amenable number.

72038320 is an abundant number, since it is smaller than the sum of its proper divisors (101231840).

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

72038320 is a wasteful number, since it uses less digits than its factorization.

72038320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31093 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72038320 is about 8487.5391015300. The cubic root of 72038320 is about 416.0905559764.

The spelling of 72038320 in words is "seventy-two million, thirty-eight thousand, three hundred twenty".